1 | MODULE zdfosm |
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2 | !!====================================================================== |
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3 | !! *** MODULE zdfosm *** |
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4 | !! Ocean physics: vertical mixing coefficient compute from the OSMOSIS |
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5 | !! turbulent closure parameterization |
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6 | !!===================================================================== |
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7 | !! History : NEMO 4.0 ! A. Grant, G. Nurser |
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8 | !! 15/03/2017 Changed calculation of pycnocline thickness in unstable conditions and stable conditions AG |
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9 | !! 15/03/2017 Calculation of pycnocline gradients for stable conditions changed. Pycnocline gradients now depend on stability of the OSBL. A.G |
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10 | !! 06/06/2017 (1) Checks on sign of buoyancy jump in calculation of OSBL depth. A.G. |
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11 | !! (2) Removed variable zbrad0, zbradh and zbradav since they are not used. |
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12 | !! (3) Approximate treatment for shear turbulence. |
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13 | !! Minimum values for zustar and zustke. |
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14 | !! Add velocity scale, zvstr, that tends to zustar for large Langmuir numbers. |
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15 | !! Limit maximum value for Langmuir number. |
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16 | !! Use zvstr in definition of stability parameter zhol. |
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17 | !! (4) Modified parametrization of entrainment flux, changing original coefficient 0.0485 for Langmuir contribution to 0.135 * zla |
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18 | !! (5) For stable boundary layer add factor that depends on length of timestep to 'slow' collapse and growth. Make sure buoyancy jump not negative. |
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19 | !! (6) For unstable conditions when growth is over multiple levels, limit change to maximum of one level per cycle through loop. |
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20 | !! (7) Change lower limits for loops that calculate OSBL averages from 1 to 2. Large gradients between levels 1 and 2 can cause problems. |
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21 | !! (8) Change upper limits from ibld-1 to ibld. |
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22 | !! (9) Calculation of pycnocline thickness in unstable conditions. Check added to ensure that buoyancy jump is positive before calculating Ri. |
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23 | !! (10) Thickness of interface layer at base of the stable OSBL set by Richardson number. Gives continuity in transition from unstable OSBL. |
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24 | !! (11) Checks that buoyancy jump is poitive when calculating pycnocline profiles. |
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25 | !! (12) Replace zwstrl with zvstr in calculation of eddy viscosity. |
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26 | !! 27/09/2017 (13) Calculate Stokes drift and Stokes penetration depth from wave information |
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27 | !! (14) Buoyancy flux due to entrainment changed to include contribution from shear turbulence. |
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28 | !! 28/09/2017 (15) Calculation of Stokes drift moved into separate do-loops to allow for different options for the determining the Stokes drift to be added. |
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29 | !! (16) Calculation of Stokes drift from windspeed for PM spectrum (for testing, commented out) |
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30 | !! (17) Modification to Langmuir velocity scale to include effects due to the Stokes penetration depth (for testing, commented out) |
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31 | !! ??/??/2018 (18) Revision to code structure, selected using key_osmldpth1. Inline code moved into subroutines. Changes to physics made, |
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32 | !! (a) Pycnocline temperature and salinity profies changed for unstable layers |
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33 | !! (b) The stable OSBL depth parametrization changed. |
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34 | !! 16/05/2019 (19) Fox-Kemper parametrization of restratification through mixed layer eddies added to revised code. |
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35 | !! 23/05/19 (20) Old code where key_osmldpth1` is *not* set removed, together with the key key_osmldpth1 |
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36 | !!---------------------------------------------------------------------- |
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37 | |
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38 | !!---------------------------------------------------------------------- |
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39 | !! 'ln_zdfosm' OSMOSIS scheme |
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40 | !!---------------------------------------------------------------------- |
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41 | !! zdf_osm : update momentum and tracer Kz from osm scheme |
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42 | !! zdf_osm_init : initialization, namelist read, and parameters control |
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43 | !! osm_rst : read (or initialize) and write osmosis restart fields |
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44 | !! tra_osm : compute and add to the T & S trend the non-local flux |
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45 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
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46 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
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47 | !! |
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48 | !! Subroutines in revised code. |
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49 | !!---------------------------------------------------------------------- |
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50 | USE oce ! ocean dynamics and active tracers |
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51 | ! uses wn from previous time step (which is now wb) to calculate hbl |
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52 | USE dom_oce ! ocean space and time domain |
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53 | USE zdf_oce ! ocean vertical physics |
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54 | USE sbc_oce ! surface boundary condition: ocean |
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55 | USE sbcwave ! surface wave parameters |
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56 | USE phycst ! physical constants |
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57 | USE eosbn2 ! equation of state |
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58 | USE traqsr ! details of solar radiation absorption |
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59 | USE zdfddm ! double diffusion mixing (avs array) |
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60 | ! USE zdfmxl ! mixed layer depth |
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61 | USE iom ! I/O library |
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62 | USE lib_mpp ! MPP library |
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63 | USE trd_oce ! ocean trends definition |
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64 | USE trdtra ! tracers trends |
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65 | ! |
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66 | USE in_out_manager ! I/O manager |
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67 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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68 | USE prtctl ! Print control |
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69 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
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70 | |
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71 | IMPLICIT NONE |
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72 | PRIVATE |
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73 | |
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74 | PUBLIC zdf_osm ! routine called by step.F90 |
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75 | PUBLIC zdf_osm_init ! routine called by nemogcm.F90 |
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76 | PUBLIC osm_rst ! routine called by step.F90 |
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77 | PUBLIC tra_osm ! routine called by step.F90 |
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78 | PUBLIC trc_osm ! routine called by trcstp.F90 |
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79 | PUBLIC dyn_osm ! routine called by step.F90 |
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80 | |
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81 | PUBLIC ln_osm_mle ! logical needed by tra_mle_init in tramle.F90 |
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82 | |
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83 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: non-local u-momentum flux |
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84 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: non-local v-momentum flux |
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85 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: non-local temperature flux (gamma/<ws>o) |
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86 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: non-local salinity flux (gamma/<ws>o) |
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87 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean !: averaging operator for avt |
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88 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: boundary layer depth |
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89 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! depth of pycnocline |
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90 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml ! ML depth |
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91 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes !: penetration depth of the Stokes drift. |
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92 | |
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93 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! inverse of the modified Coriolis parameter at t-pts |
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94 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle ! Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
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95 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle ! zonal buoyancy gradient in ML |
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96 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle ! meridional buoyancy gradient in ML |
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97 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof ! level of base of MLE layer. |
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98 | |
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99 | ! !!** Namelist namzdf_osm ** |
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100 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
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101 | |
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102 | LOGICAL :: ln_osm_mle !: flag to activate the Mixed Layer Eddy (MLE) parameterisation |
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103 | |
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104 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
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105 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
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106 | REAL(wp) :: rn_zdfosm_adjust_sd = 1.0 ! factor to reduce Stokes drift by |
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107 | REAL(wp) :: rn_osm_hblfrac = 0.1! for nn_osm_wave = 3/4 specify fraction in top of hbl |
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108 | LOGICAL :: ln_zdfosm_ice_shelter ! flag to activate ice sheltering |
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109 | REAL(wp) :: rn_osm_hbl0 = 10._wp ! Initial value of hbl for 1D runs |
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110 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
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111 | INTEGER :: nn_osm_wave = 0 ! = 0/1/2 flag for getting stokes drift from La# / PM wind-waves/Inputs into sbcwave |
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112 | INTEGER :: nn_osm_SD_reduce ! = 0/1/2 flag for getting effective stokes drift from surface value |
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113 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
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114 | |
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115 | LOGICAL :: ln_kpprimix = .true. ! Shear instability mixing |
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116 | REAL(wp) :: rn_riinfty = 0.7 ! local Richardson Number limit for shear instability |
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117 | REAL(wp) :: rn_difri = 0.005 ! maximum shear mixing at Rig = 0 (m2/s) |
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118 | LOGICAL :: ln_convmix = .true. ! Convective instability mixing |
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119 | REAL(wp) :: rn_difconv = 1._wp ! diffusivity when unstable below BL (m2/s) |
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120 | |
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121 | #ifdef key_osm_debug |
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122 | INTEGER :: nn_idb = 297, nn_jdb = 193, nn_kdb = 35, nn_narea_db = 109 |
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123 | INTEGER :: iloc_db, jloc_db |
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124 | #endif |
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125 | ! |
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126 | |
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127 | ! OSMOSIS mixed layer eddy parametrization constants |
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128 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
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129 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
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130 | ! ! parameters used in nn_osm_mle = 0 case |
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131 | REAL(wp) :: rn_osm_mle_lf ! typical scale of mixed layer front |
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132 | REAL(wp) :: rn_osm_mle_time ! time scale for mixing momentum across the mixed layer |
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133 | ! ! parameters used in nn_osm_mle = 1 case |
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134 | REAL(wp) :: rn_osm_mle_lat ! reference latitude for a 5 km scale of ML front |
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135 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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136 | REAL(wp) :: rn_osm_hmle_limit ! If ln_osm_hmle_limit true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
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137 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
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138 | REAL(wp) :: r5_21 = 5.e0 / 21.e0 ! factor used in mle streamfunction computation |
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139 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rau0 where rho_c is defined in zdfmld |
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140 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
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141 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base. |
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142 | REAL(wp) :: rn_osm_bl_thresh ! Threshold buoyancy for deepening of OSBL base. |
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143 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE. |
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144 | |
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145 | |
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146 | ! !!! ** General constants ** |
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147 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number to ensure no div by zero |
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148 | REAL(wp) :: depth_tol = 1.0e-6_wp ! a small-ish positive number to give a hbl slightly shallower than gdepw |
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149 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
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150 | REAL(wp) :: p2third = 2._wp/3._wp ! 2/3 |
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151 | |
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152 | INTEGER :: idebug = 236 |
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153 | INTEGER :: jdebug = 228 |
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154 | !!---------------------------------------------------------------------- |
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155 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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156 | !! $Id: zdfosm.F90 12317 2020-01-14 12:40:47Z agn $ |
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157 | !! Software governed by the CeCILL license (see ./LICENSE) |
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158 | !!---------------------------------------------------------------------- |
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159 | CONTAINS |
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160 | |
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161 | INTEGER FUNCTION zdf_osm_alloc() |
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162 | !!---------------------------------------------------------------------- |
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163 | !! *** FUNCTION zdf_osm_alloc *** |
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164 | !!---------------------------------------------------------------------- |
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165 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & |
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166 | & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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167 | & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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168 | |
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169 | ALLOCATE( hmle(jpi,jpj), r1_ft(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), & |
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170 | & mld_prof(jpi,jpj), STAT= zdf_osm_alloc ) |
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171 | |
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172 | ! ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & ! would ths be better ? |
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173 | ! & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
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174 | ! & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
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175 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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176 | ! IF ( ln_osm_mle ) THEN |
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177 | ! Allocate( hmle(jpi,jpj), r1_ft(jpi,jpj), STAT= zdf_osm_alloc ) |
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178 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm mle arrays') |
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179 | ! ENDIF |
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180 | |
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181 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
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182 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
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183 | END FUNCTION zdf_osm_alloc |
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184 | |
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185 | |
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186 | SUBROUTINE zdf_osm( kt, p_avm, p_avt ) |
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187 | !!---------------------------------------------------------------------- |
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188 | !! *** ROUTINE zdf_osm *** |
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189 | !! |
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190 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
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191 | !! coefficients and non local mixing using the OSMOSIS scheme |
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192 | !! |
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193 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
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194 | !! from profiles of buoyancy, and shear, and the surface forcing. |
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195 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
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196 | !! |
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197 | !! Kx = hosm Wx(sigma) G(sigma) |
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198 | !! |
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199 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
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200 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
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201 | !! shear instability and double diffusion. |
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202 | !! |
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203 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
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204 | !! -2- Diagnose the boundary layer depth. |
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205 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
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206 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
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207 | !! -5- Smoothing |
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208 | !! |
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209 | !! N.B. The computation is done from jk=2 to jpkm1 |
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210 | !! Surface value of avt are set once a time to zero |
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211 | !! in routine zdf_osm_init. |
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212 | !! |
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213 | !! ** Action : update the non-local terms ghamts |
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214 | !! update avt (before vertical eddy coef.) |
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215 | !! |
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216 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
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217 | !! Reviews of Geophysics, 32, 4, November 1994 |
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218 | !! Comments in the code refer to this paper, particularly |
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219 | !! the equation number. (LMD94, here after) |
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220 | !!---------------------------------------------------------------------- |
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221 | INTEGER , INTENT(in ) :: kt ! ocean time step |
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222 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
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223 | !! |
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224 | INTEGER :: ji, jj, jk ! dummy loop indices |
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225 | |
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226 | INTEGER :: jl ! dummy loop indices |
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227 | |
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228 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
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229 | |
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230 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
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231 | REAL(wp) :: zbeta, zthermal ! |
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232 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
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233 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
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234 | |
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235 | REAL(wp) :: zsr, zbw, ze, zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, zcomp , zrhd,zrhdr,zbvzed ! In situ density |
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236 | INTEGER :: jm ! dummy loop indices |
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237 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
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238 | REAL(wp) :: zflag, zrn2, zdep21, zdep32, zdep43 |
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239 | REAL(wp) :: zesh2, zri, zfri ! Interior richardson mixing |
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240 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
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241 | REAL(wp) :: zt,zs,zu,zv,zrh ! variables used in constructing averages |
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242 | ! Scales |
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243 | REAL(wp), DIMENSION(jpi,jpj) :: zrad0 ! Surface solar temperature flux (deg m/s) |
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244 | REAL(wp), DIMENSION(jpi,jpj) :: zradh ! Radiative flux at bl base (Buoyancy units) |
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245 | REAL(wp), DIMENSION(jpi,jpj) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
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246 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! friction velocity |
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247 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrl ! Langmuir velocity scale |
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248 | REAL(wp), DIMENSION(jpi,jpj) :: zvstr ! Velocity scale that ends to zustar for large Langmuir number. |
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249 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrc ! Convective velocity scale |
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250 | REAL(wp), DIMENSION(jpi,jpj) :: zuw0 ! Surface u-momentum flux |
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251 | REAL(wp), DIMENSION(jpi,jpj) :: zvw0 ! Surface v-momentum flux |
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252 | REAL(wp), DIMENSION(jpi,jpj) :: zwth0 ! Surface heat flux (Kinematic) |
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253 | REAL(wp), DIMENSION(jpi,jpj) :: zws0 ! Surface freshwater flux |
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254 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0 ! Surface buoyancy flux |
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255 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0tot ! Total surface buoyancy flux including insolation |
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256 | REAL(wp), DIMENSION(jpi,jpj) :: zwthav ! Heat flux - bl average |
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257 | REAL(wp), DIMENSION(jpi,jpj) :: zwsav ! freshwater flux - bl average |
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258 | REAL(wp), DIMENSION(jpi,jpj) :: zwbav ! Buoyancy flux - bl average |
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259 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent ! Buoyancy entrainment flux |
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260 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_min |
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261 | |
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262 | |
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263 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
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264 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk ! max MLE buoyancy flux |
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265 | REAL(wp), DIMENSION(jpi,jpj) :: zdiff_mle ! extra MLE vertical diff |
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266 | REAL(wp), DIMENSION(jpi,jpj) :: zvel_mle ! velocity scale for dhdt with stable ML and FK |
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267 | |
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268 | REAL(wp), DIMENSION(jpi,jpj) :: zustke ! Surface Stokes drift |
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269 | REAL(wp), DIMENSION(jpi,jpj) :: zla ! Trubulent Langmuir number |
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270 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_wind ! Cos angle of surface stress |
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271 | REAL(wp), DIMENSION(jpi,jpj) :: zsin_wind ! Sin angle of surface stress |
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272 | REAL(wp), DIMENSION(jpi,jpj) :: zhol ! Stability parameter for boundary layer |
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273 | LOGICAL, DIMENSION(jpi,jpj) :: lconv ! unstable/stable bl |
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274 | LOGICAL, DIMENSION(jpi,jpj) :: lshear ! Shear layers |
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275 | LOGICAL, DIMENSION(jpi,jpj) :: lpyc ! OSBL pycnocline present |
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276 | LOGICAL, DIMENSION(jpi,jpj) :: lflux ! surface flux extends below OSBL into MLE layer. |
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277 | LOGICAL, DIMENSION(jpi,jpj) :: lmle ! MLE layer increases in hickness. |
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278 | |
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279 | ! mixed-layer variables |
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280 | |
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281 | INTEGER, DIMENSION(jpi,jpj) :: ibld ! level of boundary layer base |
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282 | INTEGER, DIMENSION(jpi,jpj) :: imld ! level of mixed-layer depth (pycnocline top) |
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283 | INTEGER, DIMENSION(jpi,jpj) :: jp_ext, jp_ext_mle ! offset for external level |
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284 | INTEGER, DIMENSION(jpi, jpj) :: j_ddh ! Type of shear layer |
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285 | |
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286 | REAL(wp) :: ztgrad,zsgrad,zbgrad ! Temporary variables used to calculate pycnocline gradients |
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287 | REAL(wp) :: zugrad,zvgrad ! temporary variables for calculating pycnocline shear |
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288 | |
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289 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl ! bl depth - grid |
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290 | REAL(wp), DIMENSION(jpi,jpj) :: zhml ! ml depth - grid |
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291 | |
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292 | REAL(wp), DIMENSION(jpi,jpj) :: zhmle ! MLE depth - grid |
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293 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! ML depth on grid |
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294 | |
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295 | REAL(wp), DIMENSION(jpi,jpj) :: zdh ! pycnocline depth - grid |
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296 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! BL depth tendency |
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297 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_bl_ext,zdsdz_bl_ext,zdbdz_bl_ext ! external temperature/salinity and buoyancy gradients |
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298 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_mle_ext,zdsdz_mle_ext,zdbdz_mle_ext ! external temperature/salinity and buoyancy gradients |
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299 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! horizontal gradients for Fox-Kemper parametrization. |
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300 | |
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301 | REAL(wp), DIMENSION(jpi,jpj) :: zt_bl,zs_bl,zu_bl,zv_bl,zb_bl ! averages over the depth of the blayer |
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302 | REAL(wp), DIMENSION(jpi,jpj) :: zt_ml,zs_ml,zu_ml,zv_ml,zb_ml ! averages over the depth of the mixed layer |
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303 | REAL(wp), DIMENSION(jpi,jpj) :: zt_mle,zs_mle,zu_mle,zv_mle,zb_mle ! averages over the depth of the MLE layer |
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304 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_bl,zds_bl,zdu_bl,zdv_bl,zdb_bl ! difference between blayer average and parameter at base of blayer |
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305 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_ml,zds_ml,zdu_ml,zdv_ml,zdb_ml ! difference between mixed layer average and parameter at base of blayer |
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306 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_mle,zds_mle,zdu_mle,zdv_mle,zdb_mle ! difference between MLE layer average and parameter at base of blayer |
---|
307 | ! REAL(wp), DIMENSION(jpi,jpj) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
---|
308 | REAL(wp) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
---|
309 | REAL(wp) :: zuw_bse,zvw_bse ! momentum fluxes at the top of the pycnocline |
---|
310 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz_pyc ! parametrized gradient of temperature in pycnocline |
---|
311 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdsdz_pyc ! parametrised gradient of salinity in pycnocline |
---|
312 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdbdz_pyc ! parametrised gradient of buoyancy in the pycnocline |
---|
313 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz_pyc ! u-shear across the pycnocline |
---|
314 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdvdz_pyc ! v-shear across the pycnocline |
---|
315 | REAL(wp), DIMENSION(jpi,jpj) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient. |
---|
316 | ! Flux-gradient relationship variables |
---|
317 | REAL(wp), DIMENSION(jpi, jpj) :: zshear ! Shear production. |
---|
318 | |
---|
319 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale. |
---|
320 | |
---|
321 | REAL(wp) :: za_cubic, zb_cubic, zc_cubic, zd_cubic ! coefficients in cubic polynomial specifying diffusivity in pycnocline. |
---|
322 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_1,zsc_ws_1 ! Temporary scales used to calculate scalar non-gradient terms. |
---|
323 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_pyc, zsc_ws_pyc ! Scales for pycnocline transport term/ |
---|
324 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_uw_1,zsc_uw_2,zsc_vw_1,zsc_vw_2 ! Temporary scales for non-gradient momentum flux terms. |
---|
325 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl_t ! holds boundary layer depth updated by full timestep |
---|
326 | |
---|
327 | ! For calculating Ri#-dependent mixing |
---|
328 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3du ! u-shear^2 |
---|
329 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3dv ! v-shear^2 |
---|
330 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zrimix ! spatial form of ri#-induced diffusion |
---|
331 | |
---|
332 | ! Temporary variables |
---|
333 | INTEGER :: inhml |
---|
334 | REAL(wp) :: znd,znd_d,zznd_ml,zznd_pyc,zznd_d ! temporary non-dimensional depths used in various routines |
---|
335 | REAL(wp) :: ztemp, zari, zpert, zzdhdt, zdb ! temporary variables |
---|
336 | REAL(wp) :: zthick, zz0, zz1 ! temporary variables |
---|
337 | REAL(wp) :: zvel_max, zhbl_s ! temporary variables |
---|
338 | REAL(wp) :: zfac, ztmp ! temporary variable |
---|
339 | REAL(wp) :: zus_x, zus_y ! temporary Stokes drift |
---|
340 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zviscos ! viscosity |
---|
341 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdiffut ! t-diffusivity |
---|
342 | REAL(wp), DIMENSION(jpi,jpj) :: zalpha_pyc |
---|
343 | REAL(wp), DIMENSION(jpi,jpj) :: ztau_sc_u ! dissipation timescale at baes of WML. |
---|
344 | REAL(wp) :: zdelta_pyc, zwt_pyc_sc_1, zws_pyc_sc_1, zzeta_pyc |
---|
345 | REAL(wp) :: zbuoy_pyc_sc, zomega, zvw_max |
---|
346 | INTEGER :: ibld_ext=0 ! does not have to be zero for modified scheme |
---|
347 | REAL(wp) :: zgamma_b_nd, zgamma_b, zdhoh, ztau |
---|
348 | REAL(wp) :: zzeta_s = 0._wp |
---|
349 | REAL(wp) :: zzeta_v = 0.46 |
---|
350 | REAL(wp) :: zabsstke |
---|
351 | REAL(wp) :: zsqrtpi, z_two_thirds, zproportion, ztransp, zthickness |
---|
352 | REAL(wp) :: z2k_times_thickness, zsqrt_depth, zexp_depth, zdstokes0, zf, zexperfc |
---|
353 | |
---|
354 | ! For debugging |
---|
355 | INTEGER :: ikt |
---|
356 | !!-------------------------------------------------------------------- |
---|
357 | ! |
---|
358 | ibld(:,:) = 0 ; imld(:,:) = 0 |
---|
359 | zrad0(:,:) = 0._wp ; zradh(:,:) = 0._wp ; zradav(:,:) = 0._wp ; zustar(:,:) = 0._wp |
---|
360 | zwstrl(:,:) = 0._wp ; zvstr(:,:) = 0._wp ; zwstrc(:,:) = 0._wp ; zuw0(:,:) = 0._wp |
---|
361 | zvw0(:,:) = 0._wp ; zwth0(:,:) = 0._wp ; zws0(:,:) = 0._wp ; zwb0(:,:) = 0._wp |
---|
362 | zwthav(:,:) = 0._wp ; zwsav(:,:) = 0._wp ; zwbav(:,:) = 0._wp ; zwb_ent(:,:) = 0._wp |
---|
363 | zustke(:,:) = 0._wp ; zla(:,:) = 0._wp ; zcos_wind(:,:) = 0._wp ; zsin_wind(:,:) = 0._wp |
---|
364 | zhol(:,:) = 0._wp ; zwb0tot(:,:) = 0._wp |
---|
365 | lconv(:,:) = .FALSE.; lpyc(:,:) = .FALSE. ; lflux(:,:) = .FALSE. ; lmle(:,:) = .FALSE. |
---|
366 | ! mixed layer |
---|
367 | ! no initialization of zhbl or zhml (or zdh?) |
---|
368 | zhbl(:,:) = 1._wp ; zhml(:,:) = 1._wp ; zdh(:,:) = 1._wp ; zdhdt(:,:) = 0._wp |
---|
369 | zt_bl(:,:) = 0._wp ; zs_bl(:,:) = 0._wp ; zu_bl(:,:) = 0._wp |
---|
370 | zv_bl(:,:) = 0._wp ; zb_bl(:,:) = 0._wp |
---|
371 | zt_ml(:,:) = 0._wp ; zs_ml(:,:) = 0._wp ; zu_ml(:,:) = 0._wp |
---|
372 | zt_mle(:,:) = 0._wp ; zs_mle(:,:) = 0._wp ; zu_mle(:,:) = 0._wp |
---|
373 | zb_mle(:,:) = 0._wp |
---|
374 | zv_ml(:,:) = 0._wp ; zdt_bl(:,:) = 0._wp ; zds_bl(:,:) = 0._wp |
---|
375 | zdu_bl(:,:) = 0._wp ; zdv_bl(:,:) = 0._wp ; zdb_bl(:,:) = 0._wp |
---|
376 | zdt_ml(:,:) = 0._wp ; zds_ml(:,:) = 0._wp ; zdu_ml(:,:) = 0._wp ; zdv_ml(:,:) = 0._wp |
---|
377 | zdb_ml(:,:) = 0._wp |
---|
378 | zdt_mle(:,:) = 0._wp ; zds_mle(:,:) = 0._wp ; zdu_mle(:,:) = 0._wp |
---|
379 | zdv_mle(:,:) = 0._wp ; zdb_mle(:,:) = 0._wp |
---|
380 | zwth_ent = 0._wp ; zws_ent = 0._wp |
---|
381 | ! |
---|
382 | zdtdz_pyc(:,:,:) = 0._wp ; zdsdz_pyc(:,:,:) = 0._wp ; zdbdz_pyc(:,:,:) = 0._wp |
---|
383 | zdudz_pyc(:,:,:) = 0._wp ; zdvdz_pyc(:,:,:) = 0._wp |
---|
384 | ! |
---|
385 | zdtdz_bl_ext(:,:) = 0._wp ; zdsdz_bl_ext(:,:) = 0._wp ; zdbdz_bl_ext(:,:) = 0._wp |
---|
386 | |
---|
387 | IF ( ln_osm_mle ) THEN ! only initialise arrays if needed |
---|
388 | zdtdx(:,:) = 0._wp ; zdtdy(:,:) = 0._wp ; zdsdx(:,:) = 0._wp |
---|
389 | zdsdy(:,:) = 0._wp ; dbdx_mle(:,:) = 0._wp ; dbdy_mle(:,:) = 0._wp |
---|
390 | zwb_fk(:,:) = 0._wp ; zvel_mle(:,:) = 0._wp; zdiff_mle(:,:) = 0._wp |
---|
391 | zhmle(:,:) = 0._wp ; zmld(:,:) = 0._wp |
---|
392 | ENDIF |
---|
393 | zwb_fk_b(:,:) = 0._wp ! must be initialised even with ln_osm_mle=F as used in zdf_osm_calculate_dhdt |
---|
394 | |
---|
395 | ! Flux-Gradient arrays. |
---|
396 | zsc_wth_1(:,:) = 0._wp ; zsc_ws_1(:,:) = 0._wp ; zsc_uw_1(:,:) = 0._wp |
---|
397 | zsc_uw_2(:,:) = 0._wp ; zsc_vw_1(:,:) = 0._wp ; zsc_vw_2(:,:) = 0._wp |
---|
398 | zhbl_t(:,:) = 0._wp ; zdhdt(:,:) = 0._wp |
---|
399 | |
---|
400 | zdiffut(:,:,:) = 0._wp ; zviscos(:,:,:) = 0._wp ; ghamt(:,:,:) = 0._wp |
---|
401 | ghams(:,:,:) = 0._wp ; ghamu(:,:,:) = 0._wp ; ghamv(:,:,:) = 0._wp |
---|
402 | |
---|
403 | |
---|
404 | #ifdef key_osm_debug |
---|
405 | IF(narea==nn_narea_db)THEN |
---|
406 | iloc_db=mi0(nn_idb); jloc_db=mj0(nn_jdb) |
---|
407 | |
---|
408 | WRITE(narea+100,*) |
---|
409 | WRITE(narea+100,'(a,i7)')'timestep=',kt |
---|
410 | WRITE(narea+100,'(3(a,i7))')'narea=',narea,' nn_idb',nn_idb,' nn_jdb=',nn_jdb |
---|
411 | WRITE(narea+100,'(4(a,i7))')'iloc_db=',iloc_db,' jloc_db',jloc_db,' jpi=',jpi,' jpj=',jpj |
---|
412 | ji=iloc_db; jj=jloc_db |
---|
413 | WRITE(narea+100,'(a,i7,5(a,g10.2))')'mbkt=',mbkt(ji,jj),' ht_n',ht_n(ji,jj),& |
---|
414 | &' hu_n-',hu_n(ji-1,jj),' hu_n+',hu_n(ji,jj), ' hv_n-',hv_n(ji,jj-1),' hv_n+',hv_n(ji,jj) |
---|
415 | WRITE(narea+100,*) |
---|
416 | FLUSH(narea+100) |
---|
417 | END IF |
---|
418 | #endif |
---|
419 | |
---|
420 | ! hbl = MAX(hbl,epsln) |
---|
421 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
422 | ! Calculate boundary layer scales |
---|
423 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
424 | |
---|
425 | ! Assume two-band radiation model for depth of OSBL |
---|
426 | zz0 = rn_abs ! surface equi-partition in 2-bands |
---|
427 | zz1 = 1. - rn_abs |
---|
428 | DO jj = 2, jpjm1 |
---|
429 | DO ji = 2, jpim1 |
---|
430 | ! Surface downward irradiance (so always +ve) |
---|
431 | zrad0(ji,jj) = qsr(ji,jj) * r1_rau0_rcp |
---|
432 | ! Downwards irradiance at base of boundary layer |
---|
433 | zradh(ji,jj) = zrad0(ji,jj) * ( zz0 * EXP( -hbl(ji,jj)/rn_si0 ) + zz1 * EXP( -hbl(ji,jj)/rn_si1) ) |
---|
434 | ! Downwards irradiance averaged over depth of the OSBL |
---|
435 | zradav(ji,jj) = zrad0(ji,jj) * ( zz0 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si0 ) )*rn_si0 & |
---|
436 | & + zz1 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si1 ) )*rn_si1 ) / hbl(ji,jj) |
---|
437 | END DO |
---|
438 | END DO |
---|
439 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
---|
440 | DO jj = 2, jpjm1 |
---|
441 | DO ji = 2, jpim1 |
---|
442 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
443 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
444 | ! Upwards surface Temperature flux for non-local term |
---|
445 | zwth0(ji,jj) = - qns(ji,jj) * r1_rau0_rcp * tmask(ji,jj,1) |
---|
446 | ! Upwards surface salinity flux for non-local term |
---|
447 | zws0(ji,jj) = - ( ( emp(ji,jj)-rnf(ji,jj) ) * tsn(ji,jj,1,jp_sal) + sfx(ji,jj) ) * r1_rau0 * tmask(ji,jj,1) |
---|
448 | ! Non radiative upwards surface buoyancy flux |
---|
449 | zwb0(ji,jj) = grav * zthermal * zwth0(ji,jj) - grav * zbeta * zws0(ji,jj) |
---|
450 | ! Total upwards surface buoyancy flux |
---|
451 | zwb0tot(ji,jj) = zwb0(ji,jj) - grav * zthermal * ( zrad0(ji,jj) - zradh(ji,jj) ) |
---|
452 | ! turbulent heat flux averaged over depth of OSBL |
---|
453 | zwthav(ji,jj) = 0.5 * zwth0(ji,jj) - ( 0.5*( zrad0(ji,jj) + zradh(ji,jj) ) - zradav(ji,jj) ) |
---|
454 | ! turbulent salinity flux averaged over depth of the OBSL |
---|
455 | zwsav(ji,jj) = 0.5 * zws0(ji,jj) |
---|
456 | ! turbulent buoyancy flux averaged over the depth of the OBSBL |
---|
457 | zwbav(ji,jj) = grav * zthermal * zwthav(ji,jj) - grav * zbeta * zwsav(ji,jj) |
---|
458 | ! Surface upward velocity fluxes |
---|
459 | zuw0(ji,jj) = - 0.5 * (utau(ji-1,jj) + utau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
---|
460 | zvw0(ji,jj) = - 0.5 * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
---|
461 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
---|
462 | zustar(ji,jj) = MAX( SQRT( SQRT( zuw0(ji,jj) * zuw0(ji,jj) + zvw0(ji,jj) * zvw0(ji,jj) ) ), 1.0e-8 ) |
---|
463 | zcos_wind(ji,jj) = -zuw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
---|
464 | zsin_wind(ji,jj) = -zvw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
---|
465 | #ifdef key_osm_debug |
---|
466 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
467 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(a,g11.3),/)') & |
---|
468 | & 'after calculating fluxes: hbl=', hbl(ji,jj),' zthermal=',zthermal, ' zbeta=', zbeta,& |
---|
469 | & ' zrad0=', zrad0(ji,jj),' zradh=', zradh(ji,jj), ' zradav=', zradav(ji,jj), & |
---|
470 | & ' zwth0=', zwth0(ji,jj), ' zwthav=', zwthav(ji,jj), ' zws0=', zws0(ji,jj), & |
---|
471 | & ' zwb0=', zwb0(ji,jj), ' zwb0tot=', zwb0tot(ji,jj), ' zwb0tot_in hbl=', zwb0tot(ji,jj) + grav * zthermal * zradh(ji,jj),& |
---|
472 | & ' zwbav=', zwbav(ji,jj) |
---|
473 | FLUSH(narea+100) |
---|
474 | END IF |
---|
475 | #endif |
---|
476 | END DO |
---|
477 | END DO |
---|
478 | ! Calculate Stokes drift in direction of wind (zustke) and Stokes penetration depth (dstokes) |
---|
479 | SELECT CASE (nn_osm_wave) |
---|
480 | ! Assume constant La#=0.3 |
---|
481 | CASE(0) |
---|
482 | DO jj = 2, jpjm1 |
---|
483 | DO ji = 2, jpim1 |
---|
484 | zus_x = zcos_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
---|
485 | zus_y = zsin_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
---|
486 | ! Linearly |
---|
487 | zustke(ji,jj) = MAX ( SQRT( zus_x*zus_x + zus_y*zus_y), 1.0e-8 ) |
---|
488 | dstokes(ji,jj) = rn_osm_dstokes |
---|
489 | END DO |
---|
490 | END DO |
---|
491 | ! Assume Pierson-Moskovitz wind-wave spectrum |
---|
492 | CASE(1) |
---|
493 | DO jj = 2, jpjm1 |
---|
494 | DO ji = 2, jpim1 |
---|
495 | ! Use wind speed wndm included in sbc_oce module |
---|
496 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
---|
497 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
---|
498 | END DO |
---|
499 | END DO |
---|
500 | ! Use ECMWF wave fields as output from SBCWAVE |
---|
501 | CASE(2) |
---|
502 | zfac = 2.0_wp * rpi / 16.0_wp |
---|
503 | |
---|
504 | DO jj = 2, jpjm1 |
---|
505 | DO ji = 2, jpim1 |
---|
506 | IF (hsw(ji,jj) > 1.e-4) THEN |
---|
507 | ! Use wave fields |
---|
508 | zabsstke = SQRT(ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2) |
---|
509 | zustke(ji,jj) = MAX ( ( zcos_wind(ji,jj) * ut0sd(ji,jj) + zsin_wind(ji,jj) * vt0sd(ji,jj) ), 1.0e-8) |
---|
510 | dstokes(ji,jj) = MAX (zfac * hsw(ji,jj)*hsw(ji,jj) / ( MAX(zabsstke * wmp(ji,jj), 1.0e-7 ) ), 5.0e-1) |
---|
511 | ELSE |
---|
512 | ! Assume masking issue (e.g. ice in ECMWF reanalysis but not in model run) |
---|
513 | ! .. so default to Pierson-Moskowitz |
---|
514 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
---|
515 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
---|
516 | END IF |
---|
517 | END DO |
---|
518 | END DO |
---|
519 | END SELECT |
---|
520 | #ifdef key_osm_debug |
---|
521 | IF(narea==nn_narea_db)THEN |
---|
522 | WRITE(narea+100,'(2(a,g11.3))') & |
---|
523 | & 'Before reduction: zustke=', zustke(iloc_db,jloc_db),' dstokes =',dstokes(iloc_db,jloc_db) |
---|
524 | FLUSH(narea+100) |
---|
525 | END IF |
---|
526 | #endif |
---|
527 | |
---|
528 | IF (ln_zdfosm_ice_shelter) THEN |
---|
529 | ! Reduce both Stokes drift and its depth scale by ocean fraction to represent sheltering by ice |
---|
530 | DO jj = 2, jpjm1 |
---|
531 | DO ji = 2, jpim1 |
---|
532 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
---|
533 | dstokes(ji,jj) = dstokes(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
---|
534 | END DO |
---|
535 | END DO |
---|
536 | END IF |
---|
537 | |
---|
538 | SELECT CASE (nn_osm_SD_reduce) |
---|
539 | ! Reduce surface Stokes drift by a constant factor or following Breivik (2016) + van Roekel (2012) or Grant (2020). |
---|
540 | CASE(0) |
---|
541 | ! The Langmur number from the ECMWF model (or from PM) appears to give La<0.3 for wind-driven seas. |
---|
542 | ! The coefficient rn_zdfosm_adjust_sd = 0.8 gives La=0.3 in this situation. |
---|
543 | ! It could represent the effects of the spread of wave directions |
---|
544 | ! around the mean wind. The effect of this adjustment needs to be tested. |
---|
545 | IF(nn_osm_wave > 0) THEN |
---|
546 | zustke(2:jpim1,2:jpjm1) = rn_zdfosm_adjust_sd * zustke(2:jpim1,2:jpjm1) |
---|
547 | END IF |
---|
548 | CASE(1) |
---|
549 | ! van Roekel (2012): consider average SD over top 10% of boundary layer |
---|
550 | ! assumes approximate depth profile of SD from Breivik (2016) |
---|
551 | zsqrtpi = SQRT(rpi) |
---|
552 | z_two_thirds = 2.0_wp / 3.0_wp |
---|
553 | |
---|
554 | DO jj = 2, jpjm1 |
---|
555 | DO ji = 2, jpim1 |
---|
556 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
557 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
---|
558 | zsqrt_depth = SQRT(z2k_times_thickness) |
---|
559 | zexp_depth = EXP(-z2k_times_thickness) |
---|
560 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - zexp_depth & |
---|
561 | & - z_two_thirds * ( zsqrtpi*zsqrt_depth*z2k_times_thickness * ERFC(zsqrt_depth) & |
---|
562 | & + 1.0_wp - (1.0_wp + z2k_times_thickness)*zexp_depth ) ) / z2k_times_thickness |
---|
563 | |
---|
564 | END DO |
---|
565 | END DO |
---|
566 | CASE(2) |
---|
567 | ! Grant (2020): Match to exponential with same SD and d/dz(Sd) at depth 10% of boundary layer |
---|
568 | ! assumes approximate depth profile of SD from Breivik (2016) |
---|
569 | zsqrtpi = SQRT(rpi) |
---|
570 | |
---|
571 | DO jj = 2, jpjm1 |
---|
572 | DO ji = 2, jpim1 |
---|
573 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
574 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
---|
575 | |
---|
576 | IF(z2k_times_thickness < 50._wp) THEN |
---|
577 | zsqrt_depth = SQRT(z2k_times_thickness) |
---|
578 | zexperfc = zsqrtpi * zsqrt_depth * ERFC(zsqrt_depth) * EXP(z2k_times_thickness) |
---|
579 | ELSE |
---|
580 | ! asymptotic expansion of sqrt(pi)*zsqrt_depth*EXP(z2k_times_thickness)*ERFC(zsqrt_depth) for large z2k_times_thickness |
---|
581 | ! See Abramowitz and Stegun, Eq. 7.1.23 |
---|
582 | ! zexperfc = 1._wp - (1/2)/(z2k_times_thickness) + (3/4)/(z2k_times_thickness**2) - (15/8)/(z2k_times_thickness**3) |
---|
583 | zexperfc = ((- 1.875_wp/z2k_times_thickness + 0.75_wp)/z2k_times_thickness - 0.5_wp)/z2k_times_thickness + 1.0_wp |
---|
584 | END IF |
---|
585 | zf = z2k_times_thickness*(1.0_wp/zexperfc - 1.0_wp) |
---|
586 | dstokes(ji,jj) = 5.97 * zf * dstokes(ji,jj) |
---|
587 | zustke(ji,jj) = zustke(ji,jj) * EXP(z2k_times_thickness * ( 1.0_wp / (2. * zf) - 1.0_wp )) * ( 1.0_wp - zexperfc) |
---|
588 | END DO |
---|
589 | END DO |
---|
590 | END SELECT |
---|
591 | |
---|
592 | ! Langmuir velocity scale (zwstrl), La # (zla) |
---|
593 | ! mixed scale (zvstr), convective velocity scale (zwstrc) |
---|
594 | DO jj = 2, jpjm1 |
---|
595 | DO ji = 2, jpim1 |
---|
596 | ! Langmuir velocity scale (zwstrl), at T-point |
---|
597 | zwstrl(ji,jj) = ( zustar(ji,jj) * zustar(ji,jj) * zustke(ji,jj) )**pthird |
---|
598 | zla(ji,jj) = MAX(MIN(SQRT ( zustar(ji,jj) / ( zwstrl(ji,jj) + epsln ) )**3, 4.0), 0.2) |
---|
599 | IF(zla(ji,jj) > 0.45) dstokes(ji,jj) = MIN(dstokes(ji,jj), 0.5_wp*hbl(ji,jj)) |
---|
600 | ! Velocity scale that tends to zustar for large Langmuir numbers |
---|
601 | zvstr(ji,jj) = ( zwstrl(ji,jj)**3 + & |
---|
602 | & ( 1.0 - EXP( -0.5 * zla(ji,jj)**2 ) ) * zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) )**pthird |
---|
603 | |
---|
604 | ! limit maximum value of Langmuir number as approximate treatment for shear turbulence. |
---|
605 | ! Note zustke and zwstrl are not amended. |
---|
606 | ! |
---|
607 | ! get convective velocity (zwstrc), stabilty scale (zhol) and logical conection flag lconv |
---|
608 | IF ( zwbav(ji,jj) > 0.0) THEN |
---|
609 | zwstrc(ji,jj) = ( 2.0 * zwbav(ji,jj) * 0.9 * hbl(ji,jj) )**pthird |
---|
610 | zhol(ji,jj) = -0.9 * hbl(ji,jj) * 2.0 * zwbav(ji,jj) / (zvstr(ji,jj)**3 + epsln ) |
---|
611 | ELSE |
---|
612 | zhol(ji,jj) = -hbl(ji,jj) * 2.0 * zwbav(ji,jj)/ (zvstr(ji,jj)**3 + epsln ) |
---|
613 | ENDIF |
---|
614 | #ifdef key_osm_debug |
---|
615 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
616 | WRITE(narea+100,'(2(a,g11.3),/,3(a,g11.3),/,2(a,g11.3),/)') & |
---|
617 | & 'After reduction: zustke=', zustke(ji,jj), ' dstokes=', dstokes(ji,jj), & |
---|
618 | & ' zustar =', zustar(ji,jj), ' zwstrl=', zwstrl(ji,jj), ' zwstrc=', zwstrc(ji,jj),& |
---|
619 | & ' zhol=', zhol(ji,jj), ' zla=', zla(ji,jj) |
---|
620 | FLUSH(narea+100) |
---|
621 | END IF |
---|
622 | #endif |
---|
623 | END DO |
---|
624 | END DO |
---|
625 | |
---|
626 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
627 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
---|
628 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
629 | ! BL must be always 4 levels deep. |
---|
630 | ! For calculation of lateral buoyancy gradients for FK in |
---|
631 | ! zdf_osm_zmld_horizontal_gradients need halo values for ibld, so must |
---|
632 | ! previously exist for hbl also. |
---|
633 | |
---|
634 | ! agn 23/6/20: not clear all this is needed, as hbl checked after it is re-calculated anyway |
---|
635 | ! ########################################################################## |
---|
636 | hbl(:,:) = MAX(hbl(:,:), gdepw_n(:,:,4) ) |
---|
637 | ibld(:,:) = 4 |
---|
638 | DO jk = 5, jpkm1 |
---|
639 | DO jj = 1, jpj |
---|
640 | DO ji = 1, jpi |
---|
641 | IF ( hbl(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
---|
642 | ibld(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
643 | ENDIF |
---|
644 | END DO |
---|
645 | END DO |
---|
646 | END DO |
---|
647 | ! ########################################################################## |
---|
648 | |
---|
649 | DO jj = 2, jpjm1 |
---|
650 | DO ji = 2, jpim1 |
---|
651 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
---|
652 | imld(ji,jj) = MAX(3,ibld(ji,jj) - MAX( INT( dh(ji,jj) / e3t_n(ji, jj, ibld(ji,jj) - 1 )) , 1 )) |
---|
653 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
---|
654 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
655 | END DO |
---|
656 | END DO |
---|
657 | #ifdef key_osm_debug |
---|
658 | IF(narea==nn_narea_db) THEN |
---|
659 | ji=iloc_db; jj=jloc_db |
---|
660 | WRITE(narea+100,'(2(a,g11.3),/,3(a,g11.3),/,2(a,i7),/)') & |
---|
661 | & 'Before updating hbl: hbl=', hbl(ji,jj), ' dh=', dh(ji,jj), & |
---|
662 | &' zhbl =',zhbl(ji,jj) , ' zhml=', zhml(ji,jj), ' zdh=', zdh(ji,jj),& |
---|
663 | &' imld=', imld(ji,jj), ' ibld=', ibld(ji,jj) |
---|
664 | |
---|
665 | WRITE(narea+100,'(a,g11.3,a,2g11.3)') 'Physics: ssh ',sshn(ji,jj),' T S surface=',tsn(ji,jj,1,jp_tem),tsn(ji,jj,1,jp_sal) |
---|
666 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
667 | WRITE(narea+100,'(a,*(g11.3))') ' T[imld-1..ibld+2] =', ( tsn(ji,jj,jk,jp_tem), jk=jl,jm ) |
---|
668 | WRITE(narea+100,'(a,*(g11.3))') ' S[imld-1..ibld+2] =', ( tsn(ji,jj,jk,jp_sal), jk=jl,jm ) |
---|
669 | WRITE(narea+100,'(a,*(g11.3))') ' U+[imld-1..ibld+2] =', ( un(ji,jj,jk), jk=jl,jm ) |
---|
670 | WRITE(narea+100,'(a,*(g11.3))') ' U-[imld-1..ibld+2] =', ( un(ji-1,jj,jk), jk=jl,jm ) |
---|
671 | WRITE(narea+100,'(a,*(g11.3))') ' V+[imld-1..ibld+2] =', ( vn(ji,jj,jk), jk=jl,jm ) |
---|
672 | WRITE(narea+100,'(a,*(g11.3))') ' V-[imld-1..ibld+2] =', ( vn(ji,jj-1,jk), jk=jl,jm ) |
---|
673 | WRITE(narea+100,'(a,*(g11.3))') ' W[imld-1..ibld+2] =', ( wn(ji,jj-1,jk), jk=jl,jm ) |
---|
674 | WRITE(narea+100,*) |
---|
675 | FLUSH(narea+100) |
---|
676 | END IF |
---|
677 | #endif |
---|
678 | |
---|
679 | ! Averages over well-mixed and boundary layer, note BL averages use jp_ext=2 everywhere |
---|
680 | jp_ext(:,:) = 2 |
---|
681 | CALL zdf_osm_vertical_average(ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl) |
---|
682 | ! jp_ext(:,:) = ibld(:,:) - imld(:,:) + 1 |
---|
683 | CALL zdf_osm_vertical_average(imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
---|
684 | #ifdef key_osm_debug |
---|
685 | IF(narea==nn_narea_db) THEN |
---|
686 | ji=iloc_db; jj=jloc_db |
---|
687 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(4(a,g11.3),/))') & |
---|
688 | & 'After averaging, with old hbl (& jp_ext==2), hml: zt_bl=', zt_bl(ji,jj),& |
---|
689 | & ' zs_bl=', zs_bl(ji,jj), ' zb_bl=', zb_bl(ji,jj),& |
---|
690 | & 'zdt_bl=', zdt_bl(ji,jj), ' zds_bl=', zds_bl(ji,jj), ' zdb_bl=', zdb_bl(ji,jj),& |
---|
691 | & 'zt_ml=', zt_ml(ji,jj), ' zs_ml=', zs_ml(ji,jj), ' zb_ml=', zb_ml(ji,jj),& |
---|
692 | & 'zdt_ml=', zdt_ml(ji,jj), ' zds_ml=', zds_ml(ji,jj), ' zdb_ml=', zdb_ml(ji,jj),& |
---|
693 | & 'zu_bl =', zu_bl(ji,jj) , ' zv_bl=', zv_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
694 | & 'zu_ml =', zu_ml(ji,jj) , ' zv_ml=', zv_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
695 | FLUSH(narea+100) |
---|
696 | END IF |
---|
697 | #endif |
---|
698 | ! Velocity components in frame aligned with surface stress. |
---|
699 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
---|
700 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
---|
701 | #ifdef key_osm_debug |
---|
702 | IF(narea==nn_narea_db) THEN |
---|
703 | ji=iloc_db; jj=jloc_db |
---|
704 | WRITE(narea+100,'(a,/, 2(4(a,g11.3),/))') & |
---|
705 | & 'After rotation, with old hbl (& jp_ext==2), hml:', & |
---|
706 | & 'zu_bl =', zu_bl(ji,jj) , ' zv_bl=', zv_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
707 | & 'zu_ml =', zu_ml(ji,jj) , ' zv_ml=', zv_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
708 | FLUSH(narea+100) |
---|
709 | END IF |
---|
710 | #endif |
---|
711 | |
---|
712 | ! Determine the state of the OSBL, stable/unstable, shear/no shear |
---|
713 | CALL zdf_osm_osbl_state( lconv, lshear, j_ddh, zwb_ent, zwb_min, zshear ) |
---|
714 | |
---|
715 | #ifdef key_osm_debug |
---|
716 | IF(narea==nn_narea_db) THEN |
---|
717 | ji=iloc_db; jj=jloc_db |
---|
718 | WRITE(narea+100,'(2(a,l7),a, i7,/,3(a,g11.3),/)') & |
---|
719 | & 'After zdf_osm_osbl_state: lconv=', lconv(ji,jj), ' lshear=', lshear(ji,jj), ' j_ddh=', j_ddh(ji,jj),& |
---|
720 | & 'zwb_ent=', zwb_ent(ji,jj), ' zwb_min=', zwb_min(ji,jj), ' zshear=', zshear(ji,jj) |
---|
721 | FLUSH(narea+100) |
---|
722 | END IF |
---|
723 | #endif |
---|
724 | IF ( ln_osm_mle ) THEN |
---|
725 | ! Fox-Kemper Scheme |
---|
726 | mld_prof = 4 |
---|
727 | DO jk = 5, jpkm1 |
---|
728 | DO jj = 2, jpjm1 |
---|
729 | DO ji = 2, jpim1 |
---|
730 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
731 | END DO |
---|
732 | END DO |
---|
733 | END DO |
---|
734 | jp_ext_mle(:,:) = 2 |
---|
735 | CALL zdf_osm_vertical_average(mld_prof, jp_ext_mle, zt_mle, zs_mle, zb_mle, zu_mle, zv_mle, zdt_mle, zds_mle, zdb_mle, zdu_mle, zdv_mle) |
---|
736 | |
---|
737 | DO jj = 2, jpjm1 |
---|
738 | DO ji = 2, jpim1 |
---|
739 | zhmle(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
---|
740 | END DO |
---|
741 | END DO |
---|
742 | #ifdef key_osm_debug |
---|
743 | IF(narea==nn_narea_db) THEN |
---|
744 | ji=iloc_db; jj=jloc_db |
---|
745 | WRITE(narea+100,'(2(a,g11.3), a, i7,/,2(3(a,g11.3),/),4(a,g11.3),/)') & |
---|
746 | & 'Before updating hmle: hmle =',hmle(ji,jj) , ' zhmle=', zhmle(ji,jj), ' mld_prof=', mld_prof(ji,jj), & |
---|
747 | & 'averaging over hmle: zt_mle=', zt_mle(ji,jj), ' zs_mle=', zs_mle(ji,jj), ' zb_mle=', zb_mle(ji,jj),& |
---|
748 | & 'zdt_mle=', zdt_mle(ji,jj), ' zds_mle=', zds_mle(ji,jj), ' zdb_mle=', zdb_mle(ji,jj),& |
---|
749 | & 'zu_mle =', zu_mle(ji,jj), ' zv_mle=', zv_mle(ji,jj), ' zdu_mle=', zdu_mle(ji,jj), ' zdv_mle=', zdv_mle(ji,jj) |
---|
750 | FLUSH(narea+100) |
---|
751 | END IF |
---|
752 | #endif |
---|
753 | |
---|
754 | !! Calculate fairly-well-mixed depth zmld & its index mld_prof + lateral zmld-averaged gradients |
---|
755 | CALL zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
---|
756 | !! Calculate vertical gradients immediately below zmld |
---|
757 | CALL zdf_osm_external_gradients( mld_prof, zdtdz_mle_ext, zdsdz_mle_ext, zdbdz_mle_ext ) |
---|
758 | !! calculate max vertical FK flux zwb_fk & set logical descriptors |
---|
759 | CALL zdf_osm_osbl_state_fk( lpyc, lflux, lmle, zwb_fk ) |
---|
760 | !! recalculate hmle, zmle, zvel_mle, zdiff_mle & redefine mld_proc to be index for new hmle |
---|
761 | CALL zdf_osm_mle_parameters( zmld, mld_prof, hmle, zhmle, zvel_mle, zdiff_mle ) |
---|
762 | #ifdef key_osm_debug |
---|
763 | IF(narea==nn_narea_db) THEN |
---|
764 | ji=iloc_db; jj=jloc_db |
---|
765 | WRITE(narea+100,'(a,g11.3,a,i7,/, 2(4(a,g11.3),/),2(a,g11.3),/,2(3(a,g11.3),/),a,i7,2(a,g11.3),/,3(a,g11.3),/,/)') & |
---|
766 | & 'Before updating hmle: zmld =',zmld(ji,jj),' mld_prof=', mld_prof(ji,jj), & |
---|
767 | & 'zdtdx+=', zdtdx(ji,jj),' zdtdx-=', zdtdx(ji-1,jj),' zdsdx+=', zdsdx(ji,jj),' zdsdx-=',zdsdx(ji-1,jj), & |
---|
768 | & 'zdtdy+=', zdtdy(ji,jj),' zdtdy-=', zdtdy(ji,jj-1),' zdsdy+=', zdsdy(ji,jj),' zdsdy-=',zdsdy(ji,jj-1), & |
---|
769 | & 'dbdx_mle+=', dbdx_mle(ji,jj),' dbdx_mle-=', dbdx_mle(ji-1,jj),& |
---|
770 | & 'dbdy_mle+=', dbdy_mle(ji,jj),' dbdy_mle-=',dbdy_mle(ji,jj-1),' zdbds_mle=',zdbds_mle(ji,jj), & |
---|
771 | & 'zdtdz_mle_ext=', zdtdz_mle_ext(ji,jj), ' zdsdz_mle_ext=', zdsdz_mle_ext(ji,jj), & |
---|
772 | & ' zdbdz_mle_ext=', zdbdz_mle_ext(ji,jj), & |
---|
773 | & 'After updating hmle: mld_prof=', mld_prof(ji,jj),' hmle=', hmle(ji,jj), ' zhmle=', zhmle(ji,jj),& |
---|
774 | & 'zvel_mle =', zvel_mle(ji,jj), ' zdiff_mle=', zdiff_mle(ji,jj), ' zwb_fk=', zwb_fk(ji,jj) |
---|
775 | FLUSH(narea+100) |
---|
776 | END IF |
---|
777 | #endif |
---|
778 | ELSE ! ln_osm_mle |
---|
779 | ! FK not selected, Boundary Layer only. |
---|
780 | lpyc(:,:) = .TRUE. |
---|
781 | lflux(:,:) = .FALSE. |
---|
782 | lmle(:,:) = .FALSE. |
---|
783 | DO jj = 2, jpjm1 |
---|
784 | DO ji = 2, jpim1 |
---|
785 | IF ( lconv(ji,jj) .AND. zdb_bl(ji,jj) < rn_osm_bl_thresh ) lpyc(ji,jj) = .FALSE. |
---|
786 | END DO |
---|
787 | END DO |
---|
788 | ENDIF ! ln_osm_mle |
---|
789 | |
---|
790 | !! External gradient below BL needed both with and w/o FK |
---|
791 | CALL zdf_osm_external_gradients( ibld+2, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
---|
792 | |
---|
793 | ! Test if pycnocline well resolved |
---|
794 | DO jj = 2, jpjm1 |
---|
795 | DO ji = 2,jpim1 |
---|
796 | IF (lconv(ji,jj) ) THEN |
---|
797 | ztmp = 0.2 * zhbl(ji,jj) / e3w_n(ji,jj,ibld(ji,jj)) |
---|
798 | IF ( ztmp > 6 ) THEN |
---|
799 | ! pycnocline well resolved |
---|
800 | jp_ext(ji,jj) = 1 |
---|
801 | ELSE |
---|
802 | ! pycnocline poorly resolved |
---|
803 | jp_ext(ji,jj) = 0 |
---|
804 | ENDIF |
---|
805 | ELSE |
---|
806 | ! Stable conditions |
---|
807 | jp_ext(ji,jj) = 0 |
---|
808 | ENDIF |
---|
809 | END DO |
---|
810 | END DO |
---|
811 | #ifdef key_osm_debug |
---|
812 | IF(narea==nn_narea_db) THEN |
---|
813 | ji=iloc_db; jj=jloc_db |
---|
814 | WRITE(narea+100,'(4(a,l7),a,i7,/, 3(a,g11.3),/)') & |
---|
815 | & 'BL logical descriptors: lconv =',lconv(ji,jj),' lpyc=', lpyc(ji,jj),' lflux=', lflux(ji,jj),' lmle=', lmle(ji,jj),& |
---|
816 | & ' jp_ext=', jp_ext(ji,jj), & |
---|
817 | & 'sub-BL strat: zdtdz_bl_ext=', zdtdz_bl_ext(ji,jj),' zdsdz_bl_ext=', zdsdz_bl_ext(ji,jj),' zdbdz_bl_ext=', zdbdz_bl_ext(ji,jj) |
---|
818 | FLUSH(narea+100) |
---|
819 | END IF |
---|
820 | #endif |
---|
821 | |
---|
822 | ! Recalculate bl averages using jp_ext & ml averages .... note no rotation of u & v here.. |
---|
823 | CALL zdf_osm_vertical_average(ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
824 | ! jp_ext = ibld-imld+1 |
---|
825 | CALL zdf_osm_vertical_average(imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
---|
826 | #ifdef key_osm_debug |
---|
827 | IF(narea==nn_narea_db) THEN |
---|
828 | ji=iloc_db; jj=jloc_db |
---|
829 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(4(a,g11.3),/))') & |
---|
830 | & 'After averaging, with old hbl (&correct jp_ext), hml: zt_bl=', zt_bl(ji,jj),& |
---|
831 | & ' zs_bl=', zs_bl(ji,jj), ' zb_bl=', zb_bl(ji,jj),& |
---|
832 | & 'zdt_bl=', zdt_bl(ji,jj), ' zds_bl=', zds_bl(ji,jj), ' zdb_bl=', zdb_bl(ji,jj),& |
---|
833 | & 'zt_ml=', zt_ml(ji,jj), ' zs_ml=', zs_ml(ji,jj), ' zb_ml=', zb_ml(ji,jj),& |
---|
834 | & 'zdt_ml=', zdt_ml(ji,jj), ' zds_ml=', zds_ml(ji,jj), ' zdb_ml=', zdb_ml(ji,jj),& |
---|
835 | & 'zu_bl =', zu_bl(ji,jj) , ' zv_bl=', zv_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
836 | & 'zu_ml =', zu_ml(ji,jj) , ' zv_ml=', zv_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
837 | FLUSH(narea+100) |
---|
838 | END IF |
---|
839 | #endif |
---|
840 | |
---|
841 | |
---|
842 | ! Rate of change of hbl |
---|
843 | CALL zdf_osm_calculate_dhdt( zdhdt ) |
---|
844 | DO jj = 2, jpjm1 |
---|
845 | DO ji = 2, jpim1 |
---|
846 | zhbl_t(ji,jj) = hbl(ji,jj) + (zdhdt(ji,jj) - wn(ji,jj,ibld(ji,jj)))* rn_rdt ! certainly need wn here, so subtract it |
---|
847 | ! adjustment to represent limiting by ocean bottom |
---|
848 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji, jj, mbkt(ji,jj) + 1 ) ) THEN |
---|
849 | zhbl_t(ji,jj) = MIN(zhbl_t(ji,jj), gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol)! ht_n(:,:)) |
---|
850 | lpyc(ji,jj) = .FALSE. |
---|
851 | ENDIF |
---|
852 | #ifdef key_osm_debug |
---|
853 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
854 | WRITE(narea+100,'(2(a,g11.3),/,2(a,g11.3))')'after zdf_osm_calculate_dhdt: zhbl_t=',zhbl_t(ji,jj), 'hbl=', hbl(ji,jj),& |
---|
855 | & 'delta hbl from dzdhdt', zdhdt(ji,jj)*rn_rdt,' delta hbl from w ', wn(ji,jj,ibld(ji,jj))*rn_rdt |
---|
856 | FLUSH(narea+100) |
---|
857 | END IF |
---|
858 | #endif |
---|
859 | END DO |
---|
860 | END DO |
---|
861 | |
---|
862 | imld(:,:) = ibld(:,:) ! use imld to hold previous blayer index |
---|
863 | ibld(:,:) = 4 |
---|
864 | |
---|
865 | DO jk = 4, jpkm1 |
---|
866 | DO jj = 2, jpjm1 |
---|
867 | DO ji = 2, jpim1 |
---|
868 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
---|
869 | ibld(ji,jj) = jk |
---|
870 | ENDIF |
---|
871 | END DO |
---|
872 | END DO |
---|
873 | END DO |
---|
874 | |
---|
875 | ! |
---|
876 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
---|
877 | ! |
---|
878 | CALL zdf_osm_timestep_hbl( zdhdt ) |
---|
879 | ! is external level in bounds? |
---|
880 | |
---|
881 | ! Recalculate BL averages and differences using new BL depth |
---|
882 | CALL zdf_osm_vertical_average( ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
883 | ! |
---|
884 | ! |
---|
885 | ! Check to see if lpyc needs to be changed |
---|
886 | |
---|
887 | CALL zdf_osm_pycnocline_thickness( dh, zdh ) |
---|
888 | |
---|
889 | DO jj = 2, jpjm1 |
---|
890 | DO ji = 2, jpim1 |
---|
891 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh .or. ibld(ji,jj) + jp_ext(ji,jj) >= mbkt(ji,jj) .or. ibld(ji,jj)-imld(ji,jj) == 1 ) lpyc(ji,jj) = .FALSE. |
---|
892 | END DO |
---|
893 | END DO |
---|
894 | |
---|
895 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(:,:)/3. ) ! Limit delta for shallow boundary layers for calculating flux-gradient terms. |
---|
896 | ! |
---|
897 | ! Average over the depth of the mixed layer in the convective boundary layer |
---|
898 | ! jp_ext = ibld - imld +1 |
---|
899 | ! Recalculate ML averages and differences using new ML depth |
---|
900 | CALL zdf_osm_vertical_average( imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml ) |
---|
901 | ! rotate mean currents and changes onto wind align co-ordinates |
---|
902 | ! |
---|
903 | #ifdef key_osm_debug |
---|
904 | IF(narea==nn_narea_db) THEN |
---|
905 | ji=iloc_db; jj=jloc_db |
---|
906 | WRITE(narea+100,'(4(3(a,g11.3),/), 2(4(a,g11.3),/))') & |
---|
907 | & 'After averaging, with new hbl (&correct jp_ext), hml: zt_bl=', zt_bl(ji,jj),& |
---|
908 | & ' zs_bl=', zs_bl(ji,jj), ' zb_bl=', zb_bl(ji,jj),& |
---|
909 | & 'zdt_bl=', zdt_bl(ji,jj), ' zds_bl=', zds_bl(ji,jj), ' zdb_bl=', zdb_bl(ji,jj),& |
---|
910 | & 'zt_ml=', zt_ml(ji,jj), ' zs_ml=', zs_ml(ji,jj), ' zb_ml=', zb_ml(ji,jj),& |
---|
911 | & 'zdt_ml=', zdt_ml(ji,jj), ' zds_ml=', zds_ml(ji,jj), ' zdb_ml=', zdb_ml(ji,jj),& |
---|
912 | & 'zu_bl =', zu_bl(ji,jj) , ' zv_bl=', zv_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
913 | & 'zu_ml =', zu_ml(ji,jj) , ' zv_ml=', zv_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
914 | FLUSH(narea+100) |
---|
915 | END IF |
---|
916 | #endif |
---|
917 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
---|
918 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
---|
919 | #ifdef key_osm_debug |
---|
920 | IF(narea==nn_narea_db) THEN |
---|
921 | ji=iloc_db; jj=jloc_db |
---|
922 | WRITE(narea+100,'(a,/, 2(4(a,g11.3),/))') & |
---|
923 | & 'After rotation, with new hbl (& correct jp_ext), hml:', & |
---|
924 | & 'zu_bl =', zu_bl(ji,jj) , ' zv_bl=', zv_bl(ji,jj), ' zdu_bl=', zdu_bl(ji,jj), ' zdv_bl=', zdv_bl(ji,jj),& |
---|
925 | & 'zu_ml =', zu_ml(ji,jj) , ' zv_ml=', zv_ml(ji,jj), ' zdu_ml=', zdu_ml(ji,jj), ' zdv_ml=', zdv_ml(ji,jj) |
---|
926 | FLUSH(narea+100) |
---|
927 | END IF |
---|
928 | #endif |
---|
929 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
930 | ! Pycnocline gradients for scalars and velocity |
---|
931 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
932 | |
---|
933 | CALL zdf_osm_external_gradients( ibld+2, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
---|
934 | CALL zdf_osm_pycnocline_scalar_profiles( zdtdz_pyc, zdsdz_pyc, zdbdz_pyc, zalpha_pyc ) |
---|
935 | CALL zdf_osm_pycnocline_shear_profiles( zdudz_pyc, zdvdz_pyc ) |
---|
936 | #ifdef key_osm_debug |
---|
937 | IF(narea==nn_narea_db) THEN |
---|
938 | ji=iloc_db; jj=jloc_db |
---|
939 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
940 | WRITE(narea+100,'(a,l7,/,3(a,g11.3),/)') & |
---|
941 | & 'After pycnocline profiles BL lpyc=', lpyc(ji,jj),& |
---|
942 | & 'sub-BL strat: zdtdz_bl_ext=', zdtdz_bl_ext(ji,jj),' zdsdz_bl_ext=', zdsdz_bl_ext(ji,jj),' zdbdz_bl_ext=', zdbdz_bl_ext(ji,jj), & |
---|
943 | & 'Pycnocline: zalpha_pyc=', zalpha_pyc(ji,jj) |
---|
944 | WRITE(narea+100,'(a,*(g11.3))') ' zdtdz_pyc[imld-1..ibld+2] =', ( zdtdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
945 | WRITE(narea+100,'(a,*(g11.3))') ' zdsdz_pyc[imld-1..ibld+2] =', ( zdsdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
946 | WRITE(narea+100,'(a,*(g11.3))') ' zdbdz_pyc[imld-1..ibld+2] =', ( zdbdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
947 | WRITE(narea+100,'(a,*(g11.3))') ' zdudz_pyc[imld-1..ibld+2] =', ( zdudz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
948 | WRITE(narea+100,'(a,*(g11.3))') ' zdvdz_pyc[imld-1..ibld+2] =', ( zdvdz_pyc(ji,jj,jk), jk=jl,jm ) |
---|
949 | WRITE(narea+100,*) |
---|
950 | FLUSH(narea+100) |
---|
951 | END IF |
---|
952 | #endif |
---|
953 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
954 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
---|
955 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
956 | CALL zdf_osm_diffusivity_viscosity( zdiffut, zviscos ) |
---|
957 | #ifdef key_osm_debug |
---|
958 | IF(narea==nn_narea_db) THEN |
---|
959 | ji=iloc_db; jj=jloc_db |
---|
960 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
961 | WRITE(narea+100,'(a,*(g11.3))') ' zdiffut[imld-1..ibld+2] =', ( zdiffut(ji,jj,jk), jk=jl,jm ) |
---|
962 | WRITE(narea+100,'(a,*(g11.3))') ' zviscos[imld-1..ibld+2] =', ( zviscos(ji,jj,jk), jk=jl,jm ) |
---|
963 | WRITE(narea+100,*) |
---|
964 | FLUSH(narea+100) |
---|
965 | END IF |
---|
966 | #endif |
---|
967 | |
---|
968 | ! |
---|
969 | ! calculate non-gradient components of the flux-gradient relationships |
---|
970 | ! |
---|
971 | ! Stokes term in scalar flux, flux-gradient relationship |
---|
972 | WHERE ( lconv ) |
---|
973 | zsc_wth_1 = zwstrl**3 * zwth0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln) |
---|
974 | ! |
---|
975 | zsc_ws_1 = zwstrl**3 * zws0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
976 | ELSEWHERE |
---|
977 | zsc_wth_1 = 2.0 * zwthav |
---|
978 | ! |
---|
979 | zsc_ws_1 = 2.0 * zwsav |
---|
980 | ENDWHERE |
---|
981 | |
---|
982 | |
---|
983 | DO jj = 2, jpjm1 |
---|
984 | DO ji = 2, jpim1 |
---|
985 | IF ( lconv(ji,jj) ) THEN |
---|
986 | DO jk = 2, imld(ji,jj) |
---|
987 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
988 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
989 | ! |
---|
990 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
991 | END DO ! end jk loop |
---|
992 | ELSE ! else for if (lconv) |
---|
993 | ! Stable conditions |
---|
994 | DO jk = 2, ibld(ji,jj) |
---|
995 | zznd_d=gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
996 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 2.15 * EXP ( -0.85 * zznd_d ) & |
---|
997 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
998 | ! |
---|
999 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 2.15 * EXP ( -0.85 * zznd_d ) & |
---|
1000 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
1001 | END DO |
---|
1002 | ENDIF ! endif for check on lconv |
---|
1003 | END DO ! end of ji loop |
---|
1004 | END DO ! end of jj loop |
---|
1005 | |
---|
1006 | ! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use zvstr since term needs to go to zero as zwstrl goes to zero) |
---|
1007 | WHERE ( lconv ) |
---|
1008 | zsc_uw_1 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MAX( ( 1.0 - 1.0 * 6.5 * zla**(8.0/3.0) ), 0.2 ) |
---|
1009 | zsc_uw_2 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MIN( zla**(8.0/3.0) + epsln, 0.12 ) |
---|
1010 | zsc_vw_1 = ff_t * zhml * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / ( ( zvstr**3 + 0.5 * zwstrc**3 )**(2.0/3.0) + epsln ) |
---|
1011 | ELSEWHERE |
---|
1012 | zsc_uw_1 = zustar**2 |
---|
1013 | zsc_vw_1 = ff_t * zhbl * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / (zvstr**2 + epsln) |
---|
1014 | ENDWHERE |
---|
1015 | IF(ln_dia_osm) THEN |
---|
1016 | IF ( iom_use("ghamu_00") ) CALL iom_put( "ghamu_00", wmask*ghamu ) |
---|
1017 | IF ( iom_use("ghamv_00") ) CALL iom_put( "ghamv_00", wmask*ghamv ) |
---|
1018 | END IF |
---|
1019 | DO jj = 2, jpjm1 |
---|
1020 | DO ji = 2, jpim1 |
---|
1021 | IF ( lconv(ji,jj) ) THEN |
---|
1022 | DO jk = 2, imld(ji,jj) |
---|
1023 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
1024 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05 * EXP ( -0.4 * zznd_d ) * zsc_uw_1(ji,jj) & |
---|
1025 | & + 0.00125 * EXP ( - zznd_d ) * zsc_uw_2(ji,jj) ) & |
---|
1026 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) |
---|
1027 | ! |
---|
1028 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65 * 0.15 * EXP ( - zznd_d ) & |
---|
1029 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_vw_1(ji,jj) |
---|
1030 | END DO ! end jk loop |
---|
1031 | ELSE |
---|
1032 | ! Stable conditions |
---|
1033 | DO jk = 2, ibld(ji,jj) ! corrected to ibld |
---|
1034 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
1035 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75 * 1.3 * EXP ( -0.5 * zznd_d ) & |
---|
1036 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_uw_1(ji,jj) |
---|
1037 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0._wp |
---|
1038 | END DO ! end jk loop |
---|
1039 | ENDIF |
---|
1040 | END DO ! ji loop |
---|
1041 | END DO ! jj loo |
---|
1042 | #ifdef key_osm_debug |
---|
1043 | IF(narea==nn_narea_db) THEN |
---|
1044 | ji=iloc_db; jj=jloc_db |
---|
1045 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1046 | WRITE(narea+100,'(a,g11.3)')'Stokes contrib to ghamt/s: zsc_wth_1=',zsc_wth_1(ji,jj), ' zsc_ws_1=',zsc_ws_1(ji,jj) |
---|
1047 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1048 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1049 | IF( lconv(ji,jj) ) THEN |
---|
1050 | WRITE(narea+100,'(3(a,g11.3))')'Stokes contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj), & |
---|
1051 | &' zsc_uw_2=',zsc_uw_2(ji,jj) |
---|
1052 | ELSE |
---|
1053 | WRITE(narea+100,'(2(a,g11.3))')'Stokes contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj) |
---|
1054 | END IF |
---|
1055 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
1056 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
1057 | WRITE(narea+100,*) |
---|
1058 | FLUSH(narea+100) |
---|
1059 | END IF |
---|
1060 | #endif |
---|
1061 | |
---|
1062 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio (X0.3) and pressure (X0.5)] |
---|
1063 | |
---|
1064 | WHERE ( lconv ) |
---|
1065 | zsc_wth_1 = zwbav * zwth0 * ( 1.0 + EXP ( 0.2 * zhol ) ) * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
1066 | zsc_ws_1 = zwbav * zws0 * ( 1.0 + EXP ( 0.2 * zhol ) ) * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
1067 | ELSEWHERE |
---|
1068 | zsc_wth_1 = 0._wp |
---|
1069 | zsc_ws_1 = 0._wp |
---|
1070 | ENDWHERE |
---|
1071 | |
---|
1072 | DO jj = 2, jpjm1 |
---|
1073 | DO ji = 2, jpim1 |
---|
1074 | IF (lconv(ji,jj) ) THEN |
---|
1075 | DO jk = 2, imld(ji,jj) |
---|
1076 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
1077 | ! calculate turbulent time scale |
---|
1078 | zl_c = 0.9 * ( 1.0 - EXP ( - 5.0 * ( zznd_ml + zznd_ml**3 / 3.0 ) ) ) & |
---|
1079 | & * ( 1.0 - EXP ( -15.0 * ( 1.2 - zznd_ml ) ) ) |
---|
1080 | zl_l = 2.0 * ( 1.0 - EXP ( - 2.0 * ( zznd_ml + zznd_ml**3 / 3.0 ) ) ) & |
---|
1081 | & * ( 1.0 - EXP ( - 8.0 * ( 1.15 - zznd_ml ) ) ) * ( 1.0 + dstokes(ji,jj) / zhml (ji,jj) ) |
---|
1082 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0 + EXP ( -3.0 * LOG10 ( - zhol(ji,jj) ) ) ) ** (3.0 / 2.0) |
---|
1083 | ! non-gradient buoyancy terms |
---|
1084 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * 0.4 * zsc_wth_1(ji,jj) * zl_eps / ( 0.15 + zznd_ml ) |
---|
1085 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * 0.4 * zsc_ws_1(ji,jj) * zl_eps / ( 0.15 + zznd_ml ) |
---|
1086 | END DO |
---|
1087 | |
---|
1088 | IF ( lpyc(ji,jj) ) THEN |
---|
1089 | ztau_sc_u(ji,jj) = zhml(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
---|
1090 | ztau_sc_u(ji,jj) = ztau_sc_u(ji,jj) * ( 1.4 -0.4 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) )**1.5 ) |
---|
1091 | zwth_ent = -0.003 * ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zdt_ml(ji,jj) |
---|
1092 | zws_ent = -0.003 * ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zds_ml(ji,jj) |
---|
1093 | ! Cubic profile used for buoyancy term |
---|
1094 | DO jk = 2, ibld(ji,jj) |
---|
1095 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
1096 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - 0.045 * ( ( zwth_ent * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * MAX( ( 1.75 * zznd_pyc -0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ), 0.0 ) |
---|
1097 | |
---|
1098 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - 0.045 * ( ( zws_ent * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * MAX( ( 1.75 * zznd_pyc -0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ), 0.0 ) |
---|
1099 | END DO |
---|
1100 | ! |
---|
1101 | IF ( dh(ji,jj) < 0.2*hbl(ji,jj) ) THEN |
---|
1102 | zbuoy_pyc_sc = zalpha_pyc(ji,jj) * zdb_ml(ji,jj) / zdh(ji,jj) + zdbdz_bl_ext(ji,jj) |
---|
1103 | zdelta_pyc = ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird / SQRT( MAX( zbuoy_pyc_sc, ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / zdh(ji,jj)**2 ) ) |
---|
1104 | ! |
---|
1105 | zwt_pyc_sc_1 = 0.325 * ( zalpha_pyc(ji,jj) * zdt_ml(ji,jj) / zdh(ji,jj) + zdtdz_bl_ext(ji,jj) ) * zdelta_pyc**2 / zdh(ji,jj) |
---|
1106 | ! |
---|
1107 | zws_pyc_sc_1 = 0.325 * ( zalpha_pyc(ji,jj) * zds_ml(ji,jj) / zdh(ji,jj) + zdsdz_bl_ext(ji,jj) ) * zdelta_pyc**2 / zdh(ji,jj) |
---|
1108 | ! |
---|
1109 | zzeta_pyc = 0.15 - 0.175 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) ) |
---|
1110 | DO jk = 2, ibld(ji,jj) |
---|
1111 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
1112 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.05 * zwt_pyc_sc_1 * EXP( -0.25 * ( zznd_pyc / zzeta_pyc )**2 ) * zdh(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
---|
1113 | ! |
---|
1114 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.05 * zws_pyc_sc_1 * EXP( -0.25 * ( zznd_pyc / zzeta_pyc )**2 ) * zdh(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
---|
1115 | END DO |
---|
1116 | END IF |
---|
1117 | ENDIF ! End of pycnocline |
---|
1118 | ELSE ! lconv test - stable conditions |
---|
1119 | DO jk = 2, ibld(ji,jj) |
---|
1120 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
---|
1121 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
---|
1122 | END DO |
---|
1123 | ENDIF |
---|
1124 | END DO ! ji loop |
---|
1125 | END DO ! jj loop |
---|
1126 | |
---|
1127 | WHERE ( lconv ) |
---|
1128 | zsc_uw_1 = -zwb0 * zustar**2 * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
1129 | zsc_uw_2 = zwb0 * zustke * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln )**(2.0/3.0) |
---|
1130 | zsc_vw_1 = 0._wp |
---|
1131 | ELSEWHERE |
---|
1132 | zsc_uw_1 = 0._wp |
---|
1133 | zsc_vw_1 = 0._wp |
---|
1134 | ENDWHERE |
---|
1135 | |
---|
1136 | DO jj = 2, jpjm1 |
---|
1137 | DO ji = 2, jpim1 |
---|
1138 | IF ( lconv(ji,jj) ) THEN |
---|
1139 | DO jk = 2 , imld(ji,jj) |
---|
1140 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
1141 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3 * 0.5 * ( zsc_uw_1(ji,jj) + 0.125 * EXP( -0.5 * zznd_d ) & |
---|
1142 | & * ( 1.0 - EXP( -0.5 * zznd_d ) ) & |
---|
1143 | & * zsc_uw_2(ji,jj) ) |
---|
1144 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
1145 | END DO ! jk loop |
---|
1146 | ELSE |
---|
1147 | ! stable conditions |
---|
1148 | DO jk = 2, ibld(ji,jj) |
---|
1149 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
---|
1150 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
1151 | END DO |
---|
1152 | ENDIF |
---|
1153 | END DO ! ji loop |
---|
1154 | END DO ! jj loop |
---|
1155 | |
---|
1156 | DO jj = 2, jpjm1 |
---|
1157 | DO ji = 2, jpim1 |
---|
1158 | IF( lconv(ji,jj) ) THEN |
---|
1159 | IF ( lpyc(ji,jj) ) THEN |
---|
1160 | IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
1161 | ! Place holding code. Parametrization needs checking for these conditions. |
---|
1162 | zomega = ( 0.15 * zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.75 * ( zshear(ji,jj)* zhbl(ji,jj) ))**pthird |
---|
1163 | zuw_bse = -0.0035 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdu_ml(ji,jj) |
---|
1164 | zvw_bse = -0.0075 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdv_ml(ji,jj) |
---|
1165 | ELSE |
---|
1166 | zomega = ( 0.15 * zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.75 * ( zshear(ji,jj)* zhbl(ji,jj) ))**pthird |
---|
1167 | zuw_bse = -0.0035 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdu_ml(ji,jj) |
---|
1168 | zvw_bse = -0.0075 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdv_ml(ji,jj) |
---|
1169 | ENDIF |
---|
1170 | zd_cubic = zdh(ji,jj) / zhbl(ji,jj) * zuw0(ji,jj) - ( 2.0 + zdh(ji,jj) /zhml(ji,jj) ) * zuw_bse |
---|
1171 | zc_cubic = zuw_bse - zd_cubic |
---|
1172 | ! need ztau_sc_u to be available. Change to array. |
---|
1173 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
1174 | zznd_pyc = - ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
1175 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.045 * ( ztau_sc_u(ji,jj)**2 ) * zuw_bse * & |
---|
1176 | & ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) * ( 0.75 + 0.25 * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
1177 | END DO |
---|
1178 | zvw_max = 0.7 * ff_t(ji,jj) * ( zustke(ji,jj) * dstokes(ji,jj) + 0.75 * zustar(ji,jj) * zhml(ji,jj) ) |
---|
1179 | zd_cubic = zvw_max * zdh(ji,jj) / zhml(ji,jj) - ( 2.0 + zdh(ji,jj) /zhml(ji,jj) ) * zvw_bse |
---|
1180 | zc_cubic = zvw_bse - zd_cubic |
---|
1181 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
1182 | zznd_pyc = -( gdepw_n(ji,jj,jk) -zhbl(ji,jj) ) / zdh(ji,jj) |
---|
1183 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.045 * ( ztau_sc_u(ji,jj)**2 ) * zvw_bse * & |
---|
1184 | & ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) * ( 0.75 + 0.25 * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
1185 | END DO |
---|
1186 | ENDIF ! lpyc |
---|
1187 | ENDIF ! lconv |
---|
1188 | END DO ! ji loop |
---|
1189 | END DO ! jj loop |
---|
1190 | |
---|
1191 | #ifdef key_osm_debug |
---|
1192 | IF(narea==nn_narea_db) THEN |
---|
1193 | ji=iloc_db; jj=jloc_db |
---|
1194 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1195 | WRITE(narea+100,'(2(a,g11.3))')'Stokes + buoy + pyc contribs to ghamt/s: zsc_wth_1=',zsc_wth_1(ji,jj), ' zsc_ws_1=',zsc_ws_1(ji,jj) |
---|
1196 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1197 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1198 | IF( lconv(ji,jj) ) THEN |
---|
1199 | WRITE(narea+100,'(3(a,g11.3))')'Stokes + buoy + pyc contribs to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj), & |
---|
1200 | &' zsc_uw_2=',zsc_uw_2(ji,jj) |
---|
1201 | ELSE |
---|
1202 | WRITE(narea+100,'(2(a,g11.3))')'Stokes + buoy + pyc contribs to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj) |
---|
1203 | END IF |
---|
1204 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
1205 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
1206 | WRITE(narea+100,*) |
---|
1207 | FLUSH(narea+100) |
---|
1208 | END IF |
---|
1209 | #endif |
---|
1210 | |
---|
1211 | IF(ln_dia_osm) THEN |
---|
1212 | IF ( iom_use("ghamu_0") ) CALL iom_put( "ghamu_0", wmask*ghamu ) |
---|
1213 | IF ( iom_use("zsc_uw_1_0") ) CALL iom_put( "zsc_uw_1_0", tmask(:,:,1)*zsc_uw_1 ) |
---|
1214 | END IF |
---|
1215 | ! Transport term in flux-gradient relationship [note : includes ROI ratio (X0.3) ] |
---|
1216 | |
---|
1217 | DO jj = 2, jpjm1 |
---|
1218 | DO ji = 2, jpim1 |
---|
1219 | |
---|
1220 | IF ( lconv(ji,jj) ) THEN |
---|
1221 | zsc_wth_1(ji,jj) = zwth0(ji,jj) / ( 1.0 - 0.56 * EXP( zhol(ji,jj) ) ) |
---|
1222 | zsc_ws_1(ji,jj) = zws0(ji,jj) / (1.0 - 0.56 *EXP( zhol(ji,jj) ) ) |
---|
1223 | IF ( lpyc(ji,jj) ) THEN |
---|
1224 | ! Pycnocline scales |
---|
1225 | zsc_wth_pyc(ji,jj) = -0.003 * zwstrc(ji,jj) * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zdt_ml(ji,jj) |
---|
1226 | zsc_ws_pyc(ji,jj) = -0.003 * zwstrc(ji,jj) * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zds_ml(ji,jj) |
---|
1227 | ENDIF |
---|
1228 | ELSE |
---|
1229 | zsc_wth_1(ji,jj) = 2.0 * zwthav(ji,jj) |
---|
1230 | zsc_ws_1(ji,jj) = zws0(ji,jj) |
---|
1231 | ENDIF |
---|
1232 | END DO |
---|
1233 | END DO |
---|
1234 | |
---|
1235 | DO jj = 2, jpjm1 |
---|
1236 | DO ji = 2, jpim1 |
---|
1237 | IF ( lconv(ji,jj) ) THEN |
---|
1238 | DO jk = 2, imld(ji,jj) |
---|
1239 | zznd_ml=gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
1240 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * zsc_wth_1(ji,jj) & |
---|
1241 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
---|
1242 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
---|
1243 | & * ( 1.0 - EXP( - 15.0 * ( 1.0 - zznd_ml ) ) ) |
---|
1244 | ! |
---|
1245 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * zsc_ws_1(ji,jj) & |
---|
1246 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
---|
1247 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
---|
1248 | & * ( 1.0 - EXP ( -15.0 * ( 1.0 - zznd_ml ) ) ) |
---|
1249 | END DO |
---|
1250 | ! |
---|
1251 | ! may need to comment out lpyc block |
---|
1252 | IF ( lpyc(ji,jj) ) THEN |
---|
1253 | ! pycnocline |
---|
1254 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
1255 | zznd_pyc = - ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
1256 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 4.0 * zsc_wth_pyc(ji,jj) * ( 0.48 - EXP( -1.5 * ( zznd_pyc -0.3)**2 ) ) |
---|
1257 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 4.0 * zsc_ws_pyc(ji,jj) * ( 0.48 - EXP( -1.5 * ( zznd_pyc -0.3)**2 ) ) |
---|
1258 | END DO |
---|
1259 | ENDIF |
---|
1260 | ELSE |
---|
1261 | IF( zdhdt(ji,jj) > 0. ) THEN |
---|
1262 | DO jk = 2, ibld(ji,jj) |
---|
1263 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
1264 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
1265 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
---|
1266 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_wth_1(ji,jj) |
---|
1267 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
---|
1268 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_ws_1(ji,jj) |
---|
1269 | END DO |
---|
1270 | ENDIF |
---|
1271 | ENDIF |
---|
1272 | ENDDO ! ji loop |
---|
1273 | END DO ! jj loop |
---|
1274 | |
---|
1275 | WHERE ( lconv ) |
---|
1276 | zsc_uw_1 = zustar**2 |
---|
1277 | zsc_vw_1 = ff_t * zustke * zhml |
---|
1278 | ELSEWHERE |
---|
1279 | zsc_uw_1 = zustar**2 |
---|
1280 | zsc_uw_2 = (2.25 - 3.0 * ( 1.0 - EXP( -1.25 * 2.0 ) ) ) * ( 1.0 - EXP( -4.0 * 2.0 ) ) * zsc_uw_1 |
---|
1281 | zsc_vw_1 = ff_t * zustke * zhbl |
---|
1282 | zsc_vw_2 = -0.11 * SIN( 3.14159 * ( 2.0 + 0.4 ) ) * EXP(-( 1.5 + 2.0 )**2 ) * zsc_vw_1 |
---|
1283 | ENDWHERE |
---|
1284 | |
---|
1285 | DO jj = 2, jpjm1 |
---|
1286 | DO ji = 2, jpim1 |
---|
1287 | IF ( lconv(ji,jj) ) THEN |
---|
1288 | DO jk = 2, imld(ji,jj) |
---|
1289 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
1290 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
1291 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
---|
1292 | & + 0.3 * ( -2.0 + 2.5 * ( 1.0 + 0.1 * zznd_ml**4 ) - EXP ( -8.0 * zznd_ml ) ) * zsc_uw_1(ji,jj) |
---|
1293 | ! |
---|
1294 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
1295 | & + 0.3 * 0.1 * ( EXP( -zznd_d ) + EXP( -5.0 * ( 1.0 - zznd_ml ) ) ) * zsc_vw_1(ji,jj) |
---|
1296 | END DO |
---|
1297 | |
---|
1298 | ELSE |
---|
1299 | DO jk = 2, ibld(ji,jj) |
---|
1300 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
1301 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
1302 | IF ( zznd_d <= 2.0 ) THEN |
---|
1303 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5 * 0.3 & |
---|
1304 | &* ( 2.25 - 3.0 * ( 1.0 - EXP( - 1.25 * zznd_d ) ) * ( 1.0 - EXP( -2.0 * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
---|
1305 | ! |
---|
1306 | ELSE |
---|
1307 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
---|
1308 | & + 0.5 * 0.3 * ( 1.0 - EXP( -5.0 * ( 1.0 - znd ) ) ) * zsc_uw_2(ji,jj) |
---|
1309 | ! |
---|
1310 | ENDIF |
---|
1311 | |
---|
1312 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
1313 | & + 0.3 * 0.15 * SIN( 3.14159 * ( 0.65 * zznd_d ) ) * EXP( -0.25 * zznd_d**2 ) * zsc_vw_1(ji,jj) |
---|
1314 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
1315 | & + 0.3 * 0.15 * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
---|
1316 | END DO |
---|
1317 | ENDIF |
---|
1318 | END DO |
---|
1319 | END DO |
---|
1320 | #ifdef key_osm_debug |
---|
1321 | IF(narea==nn_narea_db) THEN |
---|
1322 | ji=iloc_db; jj=jloc_db |
---|
1323 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1324 | WRITE(narea+100,'(2(a,g11.3))')'Stokes + buoy + pyc + transport contribs to ghamt/contrib to ghamt/s: zsc_wth_1=',zsc_wth_1(ji,jj), ' zsc_ws_1=',zsc_ws_1(ji,jj) |
---|
1325 | IF (lpyc(ji,jj)) WRITE(narea+100,'(2(a,g11.3))') 'zsc_wth_pyc=', zsc_wth_pyc(ji,jj), ' zsc_wth_pyc=',zsc_wth_pyc(ji,jj) |
---|
1326 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1327 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1328 | IF( lconv(ji,jj) ) THEN |
---|
1329 | WRITE(narea+100,'(2(a,g11.3))')'Unstable; transport contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj) |
---|
1330 | ELSE |
---|
1331 | WRITE(narea+100,'(3(a,g11.3))')'Stable; transport contrib to ghamu/v: zsc_uw_1=',zsc_uw_1(ji,jj), ' zsc_vw_1=',zsc_vw_1(ji,jj), & |
---|
1332 | &' zsc_uw_2=',zsc_uw_2(ji,jj) |
---|
1333 | END IF |
---|
1334 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
1335 | WRITE(narea+100,*) |
---|
1336 | FLUSH(narea+100) |
---|
1337 | END IF |
---|
1338 | #endif |
---|
1339 | |
---|
1340 | IF(ln_dia_osm) THEN |
---|
1341 | IF ( iom_use("ghamu_f") ) CALL iom_put( "ghamu_f", wmask*ghamu ) |
---|
1342 | IF ( iom_use("ghamv_f") ) CALL iom_put( "ghamv_f", wmask*ghamv ) |
---|
1343 | IF ( iom_use("zsc_uw_1_f") ) CALL iom_put( "zsc_uw_1_f", tmask(:,:,1)*zsc_uw_1 ) |
---|
1344 | IF ( iom_use("zsc_vw_1_f") ) CALL iom_put( "zsc_vw_1_f", tmask(:,:,1)*zsc_vw_1 ) |
---|
1345 | IF ( iom_use("zsc_uw_2_f") ) CALL iom_put( "zsc_uw_2_f", tmask(:,:,1)*zsc_uw_2 ) |
---|
1346 | IF ( iom_use("zsc_vw_2_f") ) CALL iom_put( "zsc_vw_2_f", tmask(:,:,1)*zsc_vw_2 ) |
---|
1347 | END IF |
---|
1348 | ! |
---|
1349 | ! Make surface forced velocity non-gradient terms go to zero at the base of the mixed layer. |
---|
1350 | |
---|
1351 | |
---|
1352 | ! Make surface forced velocity non-gradient terms go to zero at the base of the boundary layer. |
---|
1353 | |
---|
1354 | DO jj = 2, jpjm1 |
---|
1355 | DO ji = 2, jpim1 |
---|
1356 | IF ( .not. lconv(ji,jj) ) THEN |
---|
1357 | DO jk = 2, ibld(ji,jj) |
---|
1358 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zhbl(ji,jj) !ALMG to think about |
---|
1359 | IF ( znd >= 0.0 ) THEN |
---|
1360 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
---|
1361 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
---|
1362 | ELSE |
---|
1363 | ghamu(ji,jj,jk) = 0._wp |
---|
1364 | ghamv(ji,jj,jk) = 0._wp |
---|
1365 | ENDIF |
---|
1366 | END DO |
---|
1367 | ENDIF |
---|
1368 | END DO |
---|
1369 | END DO |
---|
1370 | |
---|
1371 | ! pynocline contributions |
---|
1372 | DO jj = 2, jpjm1 |
---|
1373 | DO ji = 2, jpim1 |
---|
1374 | IF ( .not. lconv(ji,jj) ) THEN |
---|
1375 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
1376 | DO jk= 2, ibld(ji,jj) |
---|
1377 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zdiffut(ji,jj,jk) * zdtdz_pyc(ji,jj,jk) |
---|
1378 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zdiffut(ji,jj,jk) * zdsdz_pyc(ji,jj,jk) |
---|
1379 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zviscos(ji,jj,jk) * zdudz_pyc(ji,jj,jk) |
---|
1380 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zviscos(ji,jj,jk) * zdvdz_pyc(ji,jj,jk) |
---|
1381 | END DO |
---|
1382 | END IF |
---|
1383 | END IF |
---|
1384 | END DO |
---|
1385 | END DO |
---|
1386 | IF(ln_dia_osm) THEN |
---|
1387 | IF ( iom_use("ghamu_b") ) CALL iom_put( "ghamu_b", wmask*ghamu ) |
---|
1388 | IF ( iom_use("ghamv_b") ) CALL iom_put( "ghamv_b", wmask*ghamv ) |
---|
1389 | END IF |
---|
1390 | |
---|
1391 | DO jj=2, jpjm1 |
---|
1392 | DO ji = 2, jpim1 |
---|
1393 | ghamt(ji,jj,ibld(ji,jj)) = 0._wp |
---|
1394 | ghams(ji,jj,ibld(ji,jj)) = 0._wp |
---|
1395 | ghamu(ji,jj,ibld(ji,jj)) = 0._wp |
---|
1396 | ghamv(ji,jj,ibld(ji,jj)) = 0._wp |
---|
1397 | END DO ! ji loop |
---|
1398 | END DO ! jj loop |
---|
1399 | #ifdef key_osm_debug |
---|
1400 | IF(narea==nn_narea_db) THEN |
---|
1401 | ji=iloc_db; jj=jloc_db |
---|
1402 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1403 | WRITE(narea+100,'(a)')'Tweak gham[uv] to go to zero near surface, add pycnocline viscosity/diffusivity & set=0 at ibld' |
---|
1404 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1405 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1406 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
1407 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
1408 | WRITE(narea+100,*) |
---|
1409 | FLUSH(narea+100) |
---|
1410 | END IF |
---|
1411 | #endif |
---|
1412 | |
---|
1413 | IF(ln_dia_osm) THEN |
---|
1414 | IF ( iom_use("ghamu_1") ) CALL iom_put( "ghamu_1", wmask*ghamu ) |
---|
1415 | IF ( iom_use("ghamv_1") ) CALL iom_put( "ghamv_1", wmask*ghamv ) |
---|
1416 | IF ( iom_use("zdudz_pyc") ) CALL iom_put( "zdudz_pyc", wmask*zdudz_pyc ) |
---|
1417 | IF ( iom_use("zdvdz_pyc") ) CALL iom_put( "zdvdz_pyc", wmask*zdvdz_pyc ) |
---|
1418 | IF ( iom_use("zviscos") ) CALL iom_put( "zviscos", wmask*zviscos ) |
---|
1419 | END IF |
---|
1420 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
1421 | ! Need to put in code for contributions that are applied explicitly to |
---|
1422 | ! the prognostic variables |
---|
1423 | ! 1. Entrainment flux |
---|
1424 | ! |
---|
1425 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
1426 | |
---|
1427 | |
---|
1428 | |
---|
1429 | ! rotate non-gradient velocity terms back to model reference frame |
---|
1430 | |
---|
1431 | DO jj = 2, jpjm1 |
---|
1432 | DO ji = 2, jpim1 |
---|
1433 | DO jk = 2, ibld(ji,jj) |
---|
1434 | ztemp = ghamu(ji,jj,jk) |
---|
1435 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * zcos_wind(ji,jj) - ghamv(ji,jj,jk) * zsin_wind(ji,jj) |
---|
1436 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * zcos_wind(ji,jj) + ztemp * zsin_wind(ji,jj) |
---|
1437 | END DO |
---|
1438 | END DO |
---|
1439 | END DO |
---|
1440 | |
---|
1441 | IF(ln_dia_osm) THEN |
---|
1442 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
---|
1443 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
---|
1444 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
---|
1445 | END IF |
---|
1446 | |
---|
1447 | ! KPP-style Ri# mixing |
---|
1448 | IF( ln_kpprimix) THEN |
---|
1449 | DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form) |
---|
1450 | DO jj = 1, jpjm1 |
---|
1451 | DO ji = 1, jpim1 ! vector opt. |
---|
1452 | z3du(ji,jj,jk) = 0.5 * ( un(ji,jj,jk-1) - un(ji ,jj,jk) ) & |
---|
1453 | & * ( ub(ji,jj,jk-1) - ub(ji ,jj,jk) ) * wumask(ji,jj,jk) & |
---|
1454 | & / ( e3uw_n(ji,jj,jk) * e3uw_b(ji,jj,jk) ) |
---|
1455 | z3dv(ji,jj,jk) = 0.5 * ( vn(ji,jj,jk-1) - vn(ji,jj ,jk) ) & |
---|
1456 | & * ( vb(ji,jj,jk-1) - vb(ji,jj ,jk) ) * wvmask(ji,jj,jk) & |
---|
1457 | & / ( e3vw_n(ji,jj,jk) * e3vw_b(ji,jj,jk) ) |
---|
1458 | END DO |
---|
1459 | END DO |
---|
1460 | END DO |
---|
1461 | ! |
---|
1462 | DO jk = 2, jpkm1 |
---|
1463 | DO jj = 2, jpjm1 |
---|
1464 | DO ji = 2, jpim1 ! vector opt. |
---|
1465 | ! ! shear prod. at w-point weightened by mask |
---|
1466 | zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
---|
1467 | & + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
1468 | ! ! local Richardson number |
---|
1469 | zri = MAX( rn2b(ji,jj,jk), 0._wp ) / MAX(zesh2, epsln) |
---|
1470 | zfri = MIN( zri / rn_riinfty , 1.0_wp ) |
---|
1471 | zfri = ( 1.0_wp - zfri * zfri ) |
---|
1472 | zrimix(ji,jj,jk) = zfri * zfri * zfri * wmask(ji, jj, jk) |
---|
1473 | END DO |
---|
1474 | END DO |
---|
1475 | END DO |
---|
1476 | |
---|
1477 | DO jj = 2, jpjm1 |
---|
1478 | DO ji = 2, jpim1 |
---|
1479 | DO jk = ibld(ji,jj) + 1, jpkm1 |
---|
1480 | zdiffut(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
---|
1481 | zviscos(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
---|
1482 | END DO |
---|
1483 | END DO |
---|
1484 | END DO |
---|
1485 | |
---|
1486 | END IF ! ln_kpprimix = .true. |
---|
1487 | |
---|
1488 | ! KPP-style set diffusivity large if unstable below BL |
---|
1489 | IF( ln_convmix) THEN |
---|
1490 | DO jj = 2, jpjm1 |
---|
1491 | DO ji = 2, jpim1 |
---|
1492 | DO jk = ibld(ji,jj) + 1, jpkm1 |
---|
1493 | IF( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1.e-12 ) zdiffut(ji,jj,jk) = rn_difconv |
---|
1494 | END DO |
---|
1495 | END DO |
---|
1496 | END DO |
---|
1497 | END IF ! ln_convmix = .true. |
---|
1498 | #ifdef key_osm_debug |
---|
1499 | IF(narea==nn_narea_db) THEN |
---|
1500 | ji=iloc_db; jj=jloc_db |
---|
1501 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1502 | WRITE(narea+100,'(a)') ' After including KPP Ri# diffusivity & viscosity' |
---|
1503 | WRITE(narea+100,'(a,*(g11.3))') ' zdiffut[imld-1..ibld+2] =', ( zdiffut(ji,jj,jk), jk=jl,jm ) |
---|
1504 | WRITE(narea+100,'(a,*(g11.3))') ' zviscos[imld-1..ibld+2] =', ( zviscos(ji,jj,jk), jk=jl,jm ) |
---|
1505 | WRITE(narea+100,*) |
---|
1506 | FLUSH(narea+100) |
---|
1507 | END IF |
---|
1508 | #endif |
---|
1509 | |
---|
1510 | |
---|
1511 | |
---|
1512 | IF ( ln_osm_mle ) THEN ! set up diffusivity and non-gradient mixing |
---|
1513 | DO jj = 2 , jpjm1 |
---|
1514 | DO ji = 2, jpim1 |
---|
1515 | IF ( lflux(ji,jj) ) THEN ! MLE mixing extends below boundary layer |
---|
1516 | ! Calculate MLE flux contribution from surface fluxes |
---|
1517 | DO jk = 1, ibld(ji,jj) |
---|
1518 | znd = gdepw_n(ji,jj,jk) / MAX(zhbl(ji,jj),epsln) |
---|
1519 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - ( zwth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0 - znd ) |
---|
1520 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - zws0(ji,jj) * ( 1.0 - znd ) |
---|
1521 | END DO |
---|
1522 | DO jk = 1, mld_prof(ji,jj) |
---|
1523 | znd = gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
1524 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + ( zwth0(ji,jj) - zrad0(ji,jj) + zradh(ji,jj) ) * ( 1.0 - znd ) |
---|
1525 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws0(ji,jj) * ( 1.0 -znd ) |
---|
1526 | END DO |
---|
1527 | ! Viscosity for MLEs |
---|
1528 | DO jk = 1, mld_prof(ji,jj) |
---|
1529 | znd = -gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
1530 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + 5.0 / 21.0 * ( 2.0 * znd + 1.0 )** 2 ) |
---|
1531 | END DO |
---|
1532 | ELSE |
---|
1533 | ! Surface transports limited to OSBL. |
---|
1534 | ! Viscosity for MLEs |
---|
1535 | DO jk = 1, mld_prof(ji,jj) |
---|
1536 | znd = -gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
1537 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + 5.0 / 21.0 * ( 2.0 * znd + 1.0 )** 2 ) |
---|
1538 | END DO |
---|
1539 | ENDIF |
---|
1540 | END DO |
---|
1541 | END DO |
---|
1542 | #ifdef key_osm_debug |
---|
1543 | IF(narea==nn_narea_db) THEN |
---|
1544 | ji=iloc_db; jj=jloc_db |
---|
1545 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1546 | WRITE(narea+100,'(a)') ' After including FK diffusivity & non-local terms' |
---|
1547 | WRITE(narea+100,'(a,*(g11.3))') ' zdiffut[imld-1..ibld+2] =', ( zdiffut(ji,jj,jk), jk=jl,jm ) |
---|
1548 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1549 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1550 | WRITE(narea+100,*) |
---|
1551 | FLUSH(narea+100) |
---|
1552 | END IF |
---|
1553 | #endif |
---|
1554 | ENDIF |
---|
1555 | |
---|
1556 | IF(ln_dia_osm) THEN |
---|
1557 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
---|
1558 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
---|
1559 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
---|
1560 | END IF |
---|
1561 | |
---|
1562 | |
---|
1563 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
---|
1564 | !CALL lbc_lnk( zviscos(:,:,:), 'W', 1. ) |
---|
1565 | |
---|
1566 | ! GN 25/8: need to change tmask --> wmask |
---|
1567 | |
---|
1568 | DO jk = 2, jpkm1 |
---|
1569 | DO jj = 2, jpjm1 |
---|
1570 | DO ji = 2, jpim1 |
---|
1571 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
1572 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
---|
1573 | END DO |
---|
1574 | END DO |
---|
1575 | END DO |
---|
1576 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and v grids |
---|
1577 | CALL lbc_lnk_multi( 'zdfosm', p_avt, 'W', 1. , p_avm, 'W', 1., & |
---|
1578 | & ghamu, 'W', 1. , ghamv, 'W', 1. ) |
---|
1579 | DO jk = 2, jpkm1 |
---|
1580 | DO jj = 2, jpjm1 |
---|
1581 | DO ji = 2, jpim1 |
---|
1582 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) & |
---|
1583 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
---|
1584 | |
---|
1585 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) & |
---|
1586 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
1587 | |
---|
1588 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1589 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
---|
1590 | END DO |
---|
1591 | END DO |
---|
1592 | END DO |
---|
1593 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
---|
1594 | CALL lbc_lnk_multi( 'zdfosm', hbl, 'T', 1., dh, 'T', 1., hmle, 'T', 1. ) |
---|
1595 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
---|
1596 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign unchanged) |
---|
1597 | CALL lbc_lnk_multi( 'zdfosm', ghamt, 'W', 1. , ghams, 'W', 1., & |
---|
1598 | & ghamu, 'U', -1. , ghamv, 'V', -1. ) |
---|
1599 | #ifdef key_osm_debug |
---|
1600 | IF(narea==nn_narea_db) THEN |
---|
1601 | ji=iloc_db; jj=jloc_db |
---|
1602 | jl = imld(ji,jj) - 1; jm = MIN(ibld(ji,jj) + 2, mbkt(ji,jj) ) |
---|
1603 | WRITE(narea+100,'(a)') ' Final diffusivity & viscosity, & non-local terms' |
---|
1604 | WRITE(narea+100,'(a,*(g11.3))') ' p_avt[imld-1..ibld+2] =', ( p_avt(ji,jj,jk), jk=jl,jm ) |
---|
1605 | WRITE(narea+100,'(a,*(g11.3))') ' p_avm[imld-1..ibld+2] =', ( p_avm(ji,jj,jk), jk=jl,jm ) |
---|
1606 | WRITE(narea+100,'(a,*(g11.3))') ' ghamt[imld-1..ibld+2] =', ( ghamt(ji,jj,jk), jk=jl,jm ) |
---|
1607 | WRITE(narea+100,'(a,*(g11.3))') ' ghams[imld-1..ibld+2] =', ( ghams(ji,jj,jk), jk=jl,jm ) |
---|
1608 | WRITE(narea+100,'(a,*(g11.3))') ' ghamu[imld-1..ibld+2] =', ( ghamu(ji,jj,jk), jk=jl,jm ) |
---|
1609 | WRITE(narea+100,'(a,*(g11.3))') ' ghamv[imld-1..ibld+2] =', ( ghamv(ji,jj,jk), jk=jl,jm ) |
---|
1610 | WRITE(narea+100,*) |
---|
1611 | FLUSH(narea+100) |
---|
1612 | END IF |
---|
1613 | #endif |
---|
1614 | |
---|
1615 | IF(ln_dia_osm) THEN |
---|
1616 | SELECT CASE (nn_osm_wave) |
---|
1617 | ! Stokes drift set by assumimg onstant La#=0.3(=0) or Pierson-Moskovitz spectrum (=1). |
---|
1618 | CASE(0:1) |
---|
1619 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", tmask(:,:,1)*zustke*zcos_wind ) ! x surface Stokes drift |
---|
1620 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", tmask(:,:,1)*zustke*zsin_wind ) ! y surface Stokes drift |
---|
1621 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
---|
1622 | ! Stokes drift read in from sbcwave (=2). |
---|
1623 | CASE(2:3) |
---|
1624 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd*umask(:,:,1) ) ! x surface Stokes drift |
---|
1625 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd*vmask(:,:,1) ) ! y surface Stokes drift |
---|
1626 | IF ( iom_use("wmp") ) CALL iom_put( "wmp", wmp*tmask(:,:,1) ) ! wave mean period |
---|
1627 | IF ( iom_use("hsw") ) CALL iom_put( "hsw", hsw*tmask(:,:,1) ) ! significant wave height |
---|
1628 | IF ( iom_use("wmp_NP") ) CALL iom_put( "wmp_NP", (2.*rpi*1.026/(0.877*grav) )*wndm*tmask(:,:,1) ) ! wave mean period from NP spectrum |
---|
1629 | IF ( iom_use("hsw_NP") ) CALL iom_put( "hsw_NP", (0.22/grav)*wndm**2*tmask(:,:,1) ) ! significant wave height from NP spectrum |
---|
1630 | IF ( iom_use("wndm") ) CALL iom_put( "wndm", wndm*tmask(:,:,1) ) ! U_10 |
---|
1631 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2* & |
---|
1632 | & SQRT(ut0sd**2 + vt0sd**2 ) ) |
---|
1633 | END SELECT |
---|
1634 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
---|
1635 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
---|
1636 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
---|
1637 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
---|
1638 | IF ( iom_use("zwth0") ) CALL iom_put( "zwth0", tmask(:,:,1)*zwth0 ) ! <Tw_0> |
---|
1639 | IF ( iom_use("zws0") ) CALL iom_put( "zws0", tmask(:,:,1)*zws0 ) ! <Sw_0> |
---|
1640 | IF ( iom_use("zwb0") ) CALL iom_put( "zwb0", tmask(:,:,1)*zwb0 ) ! <Sw_0> |
---|
1641 | IF ( iom_use("zwbav") ) CALL iom_put( "zwbav", tmask(:,:,1)*zwthav ) ! upward BL-avged turb buoyancy flux |
---|
1642 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! boundary-layer depth |
---|
1643 | IF ( iom_use("ibld") ) CALL iom_put( "ibld", tmask(:,:,1)*ibld ) ! boundary-layer max k |
---|
1644 | IF ( iom_use("zdt_bl") ) CALL iom_put( "zdt_bl", tmask(:,:,1)*zdt_bl ) ! dt at ml base |
---|
1645 | IF ( iom_use("zds_bl") ) CALL iom_put( "zds_bl", tmask(:,:,1)*zds_bl ) ! ds at ml base |
---|
1646 | IF ( iom_use("zdb_bl") ) CALL iom_put( "zdb_bl", tmask(:,:,1)*zdb_bl ) ! db at ml base |
---|
1647 | IF ( iom_use("zdu_bl") ) CALL iom_put( "zdu_bl", tmask(:,:,1)*zdu_bl ) ! du at ml base |
---|
1648 | IF ( iom_use("zdv_bl") ) CALL iom_put( "zdv_bl", tmask(:,:,1)*zdv_bl ) ! dv at ml base |
---|
1649 | IF ( iom_use("dh") ) CALL iom_put( "dh", tmask(:,:,1)*dh ) ! Initial boundary-layer depth |
---|
1650 | IF ( iom_use("hml") ) CALL iom_put( "hml", tmask(:,:,1)*hml ) ! Initial boundary-layer depth |
---|
1651 | IF ( iom_use("zdt_ml") ) CALL iom_put( "zdt_ml", tmask(:,:,1)*zdt_ml ) ! dt at ml base |
---|
1652 | IF ( iom_use("zds_ml") ) CALL iom_put( "zds_ml", tmask(:,:,1)*zds_ml ) ! ds at ml base |
---|
1653 | IF ( iom_use("zdb_ml") ) CALL iom_put( "zdb_ml", tmask(:,:,1)*zdb_ml ) ! db at ml base |
---|
1654 | IF ( iom_use("dstokes") ) CALL iom_put( "dstokes", tmask(:,:,1)*dstokes ) ! Stokes drift penetration depth |
---|
1655 | IF ( iom_use("zustke") ) CALL iom_put( "zustke", tmask(:,:,1)*zustke ) ! Stokes drift magnitude at T-points |
---|
1656 | IF ( iom_use("zwstrc") ) CALL iom_put( "zwstrc", tmask(:,:,1)*zwstrc ) ! convective velocity scale |
---|
1657 | IF ( iom_use("zwstrl") ) CALL iom_put( "zwstrl", tmask(:,:,1)*zwstrl ) ! Langmuir velocity scale |
---|
1658 | IF ( iom_use("zustar") ) CALL iom_put( "zustar", tmask(:,:,1)*zustar ) ! friction velocity scale |
---|
1659 | IF ( iom_use("zvstr") ) CALL iom_put( "zvstr", tmask(:,:,1)*zvstr ) ! mixed velocity scale |
---|
1660 | IF ( iom_use("zla") ) CALL iom_put( "zla", tmask(:,:,1)*zla ) ! langmuir # |
---|
1661 | IF ( iom_use("wind_power") ) CALL iom_put( "wind_power", 1000.*rau0*tmask(:,:,1)*zustar**3 ) ! BL depth internal to zdf_osm routine |
---|
1662 | IF ( iom_use("wind_wave_power") ) CALL iom_put( "wind_wave_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
---|
1663 | IF ( iom_use("zhbl") ) CALL iom_put( "zhbl", tmask(:,:,1)*zhbl ) ! BL depth internal to zdf_osm routine |
---|
1664 | IF ( iom_use("zhml") ) CALL iom_put( "zhml", tmask(:,:,1)*zhml ) ! ML depth internal to zdf_osm routine |
---|
1665 | IF ( iom_use("imld") ) CALL iom_put( "imld", tmask(:,:,1)*imld ) ! index for ML depth internal to zdf_osm routine |
---|
1666 | IF ( iom_use("jp_ext") ) CALL iom_put( "jp_ext", tmask(:,:,1)*jp_ext ) ! =1 if pycnocline resolved internal to zdf_osm routine |
---|
1667 | IF ( iom_use("j_ddh") ) CALL iom_put( "j_ddh", tmask(:,:,1)*j_ddh ) ! index forpyc thicknessh internal to zdf_osm routine |
---|
1668 | IF ( iom_use("zshear") ) CALL iom_put( "zshear", tmask(:,:,1)*zshear ) ! shear production of TKE internal to zdf_osm routine |
---|
1669 | IF ( iom_use("zdh") ) CALL iom_put( "zdh", tmask(:,:,1)*zdh ) ! pyc thicknessh internal to zdf_osm routine |
---|
1670 | IF ( iom_use("zhol") ) CALL iom_put( "zhol", tmask(:,:,1)*zhol ) ! ML depth internal to zdf_osm routine |
---|
1671 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! upward turb temp entrainment flux |
---|
1672 | IF ( iom_use("zwb_ent") ) CALL iom_put( "zwb_ent", tmask(:,:,1)*zwb_ent ) ! upward turb buoyancy entrainment flux |
---|
1673 | IF ( iom_use("zws_ent") ) CALL iom_put( "zws_ent", tmask(:,:,1)*zws_ent ) ! upward turb salinity entrainment flux |
---|
1674 | IF ( iom_use("zt_ml") ) CALL iom_put( "zt_ml", tmask(:,:,1)*zt_ml ) ! average T in ML |
---|
1675 | |
---|
1676 | IF ( iom_use("hmle") ) CALL iom_put( "hmle", tmask(:,:,1)*hmle ) ! FK layer depth |
---|
1677 | IF ( iom_use("zmld") ) CALL iom_put( "zmld", tmask(:,:,1)*zmld ) ! FK target layer depth |
---|
1678 | IF ( iom_use("zwb_fk") ) CALL iom_put( "zwb_fk", tmask(:,:,1)*zwb_fk ) ! FK b flux |
---|
1679 | IF ( iom_use("zwb_fk_b") ) CALL iom_put( "zwb_fk_b", tmask(:,:,1)*zwb_fk_b ) ! FK b flux averaged over ML |
---|
1680 | IF ( iom_use("mld_prof") ) CALL iom_put( "mld_prof", tmask(:,:,1)*mld_prof )! FK layer max k |
---|
1681 | IF ( iom_use("zdtdx") ) CALL iom_put( "zdtdx", umask(:,:,1)*zdtdx ) ! FK dtdx at u-pt |
---|
1682 | IF ( iom_use("zdtdy") ) CALL iom_put( "zdtdy", vmask(:,:,1)*zdtdy ) ! FK dtdy at v-pt |
---|
1683 | IF ( iom_use("zdsdx") ) CALL iom_put( "zdsdx", umask(:,:,1)*zdsdx ) ! FK dtdx at u-pt |
---|
1684 | IF ( iom_use("zdsdy") ) CALL iom_put( "zdsdy", vmask(:,:,1)*zdsdy ) ! FK dsdy at v-pt |
---|
1685 | IF ( iom_use("dbdx_mle") ) CALL iom_put( "dbdx_mle", umask(:,:,1)*dbdx_mle ) ! FK dbdx at u-pt |
---|
1686 | IF ( iom_use("dbdy_mle") ) CALL iom_put( "dbdy_mle", vmask(:,:,1)*dbdy_mle ) ! FK dbdy at v-pt |
---|
1687 | IF ( iom_use("zdiff_mle") ) CALL iom_put( "zdiff_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
---|
1688 | IF ( iom_use("zvel_mle") ) CALL iom_put( "zvel_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
---|
1689 | |
---|
1690 | END IF |
---|
1691 | |
---|
1692 | CONTAINS |
---|
1693 | ! subroutine code changed, needs syntax checking. |
---|
1694 | SUBROUTINE zdf_osm_diffusivity_viscosity( zdiffut, zviscos ) |
---|
1695 | |
---|
1696 | !!--------------------------------------------------------------------- |
---|
1697 | !! *** ROUTINE zdf_osm_diffusivity_viscosity *** |
---|
1698 | !! |
---|
1699 | !! ** Purpose : Determines the eddy diffusivity and eddy viscosity profiles in the mixed layer and the pycnocline. |
---|
1700 | !! |
---|
1701 | !! ** Method : |
---|
1702 | !! |
---|
1703 | !! !!---------------------------------------------------------------------- |
---|
1704 | REAL(wp), DIMENSION(:,:,:) :: zdiffut |
---|
1705 | REAL(wp), DIMENSION(:,:,:) :: zviscos |
---|
1706 | ! local |
---|
1707 | |
---|
1708 | ! Scales used to calculate eddy diffusivity and viscosity profiles |
---|
1709 | REAL(wp), DIMENSION(jpi,jpj) :: zdifml_sc, zvisml_sc |
---|
1710 | REAL(wp), DIMENSION(jpi,jpj) :: zdifpyc_n_sc, zdifpyc_s_sc, zdifpyc_shr |
---|
1711 | REAL(wp), DIMENSION(jpi,jpj) :: zvispyc_n_sc, zvispyc_s_sc,zvispyc_shr |
---|
1712 | REAL(wp), DIMENSION(jpi,jpj) :: zbeta_d_sc, zbeta_v_sc |
---|
1713 | ! |
---|
1714 | REAL(wp) :: zvel_sc_pyc, zvel_sc_ml, zstab_fac |
---|
1715 | |
---|
1716 | REAL(wp), PARAMETER :: rn_dif_ml = 0.8, rn_vis_ml = 0.375 |
---|
1717 | REAL(wp), PARAMETER :: rn_dif_pyc = 0.15, rn_vis_pyc = 0.142 |
---|
1718 | REAL(wp), PARAMETER :: rn_vispyc_shr = 0.15 |
---|
1719 | |
---|
1720 | DO jj = 2, jpjm1 |
---|
1721 | DO ji = 2, jpim1 |
---|
1722 | IF ( lconv(ji,jj) ) THEN |
---|
1723 | |
---|
1724 | zvel_sc_pyc = ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.25 * zshear(ji,jj) * zhbl(ji,jj) )**pthird |
---|
1725 | zvel_sc_ml = ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
---|
1726 | zstab_fac = ( zhml(ji,jj) / zvel_sc_ml * ( 1.4 - 0.4 / ( 1.0 + EXP(-3.5 * LOG10(-zhol(ji,jj) ) ) )**1.25 ) )**2 |
---|
1727 | |
---|
1728 | zdifml_sc(ji,jj) = rn_dif_ml * zhml(ji,jj) * zvel_sc_ml |
---|
1729 | zvisml_sc(ji,jj) = rn_vis_ml * zdifml_sc(ji,jj) |
---|
1730 | #ifdef key_osm_debug |
---|
1731 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1732 | WRITE(narea+100,'(2(a,g11.3))')'Start of 1st major loop of osm_diffusivity_viscositys, lconv=T: zdifml_sc=',zdifml_sc(ji,jj),' zvisml_sc=',zvisml_sc(ji,jj) |
---|
1733 | WRITE(narea+100,'(3(a,g11.3))')'zvel_sc_pyc=',zvel_sc_pyc,' zvel_sc_ml=',zvel_sc_ml,' zstab_fac=',zstab_fac |
---|
1734 | FLUSH(narea+100) |
---|
1735 | END IF |
---|
1736 | #endif |
---|
1737 | IF ( lpyc(ji,jj) ) THEN |
---|
1738 | zdifpyc_n_sc(ji,jj) = rn_dif_pyc * zvel_sc_ml * zdh(ji,jj) |
---|
1739 | zvispyc_n_sc(ji,jj) = 0.09 * zvel_sc_pyc * ( 1.0 - zhbl(ji,jj) / zdh(ji,jj) )**2 * ( 0.005 * ( zu_ml(ji,jj)-zu_bl(ji,jj) )**2 + 0.0075 * ( zv_ml(ji,jj)-zv_bl(ji,jj) )**2 ) / zdh(ji,jj) |
---|
1740 | zvispyc_n_sc(ji,jj) = rn_vis_pyc * zvel_sc_ml * zdh(ji,jj) + zvispyc_n_sc(ji,jj) * zstab_fac |
---|
1741 | #ifdef key_osm_debug |
---|
1742 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1743 | WRITE(narea+100,'(2(a,g11.3))')' lpyc=lconv=T, variables w/o shear contributions: zdifpyc_n_sc',zdifpyc_n_sc(ji,jj) ,' zvispyc_n_sc=',zvispyc_n_sc(ji,jj) |
---|
1744 | FLUSH(narea+100) |
---|
1745 | END IF |
---|
1746 | #endif |
---|
1747 | IF ( lshear(ji,jj) .AND. j_ddh(ji,jj) /= 2 ) THEN |
---|
1748 | zdifpyc_n_sc(ji,jj) = zdifpyc_n_sc(ji,jj) + rn_vispyc_shr * ( zshear(ji,jj) * zhbl(ji,jj) )**pthird * zhbl(ji,jj) |
---|
1749 | zvispyc_n_sc(ji,jj) = zvispyc_n_sc(ji,jj) + rn_vispyc_shr * ( zshear(ji,jj) * zhbl(ji,jj ) )**pthird * zhbl(ji,jj) |
---|
1750 | ENDIF |
---|
1751 | #ifdef key_osm_debug |
---|
1752 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1753 | WRITE(narea+100,'(2(a,g11.3))')' lpyc=lconv=T, variables w shear contributions: zdifpyc_n_sc',zdifpyc_n_sc(ji,jj) ,' zvispyc_n_sc=',zvispyc_n_sc(ji,jj) |
---|
1754 | FLUSH(narea+100) |
---|
1755 | END IF |
---|
1756 | #endif |
---|
1757 | zdifpyc_s_sc(ji,jj) = zwb_ent(ji,jj) + 0.0025 * zvel_sc_pyc * ( zhbl(ji,jj) / zdh(ji,jj) - 1.0 ) * ( zb_ml(ji,jj) - zb_bl(ji,jj) ) |
---|
1758 | zvispyc_s_sc(ji,jj) = 0.09 * ( zwb_min(ji,jj) + 0.0025 * zvel_sc_pyc * ( zhbl(ji,jj) / zdh(ji,jj) - 1.0 ) * ( zb_ml(ji,jj) - zb_bl(ji,jj) ) ) |
---|
1759 | #ifdef key_osm_debug |
---|
1760 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1761 | WRITE(narea+100,'(2(a,g11.3))')' 1st shot at: zdifpyc_s_sc',zdifpyc_s_sc(ji,jj) ,' zvispyc_s_sc=',zvispyc_s_sc(ji,jj) |
---|
1762 | FLUSH(narea+100) |
---|
1763 | END IF |
---|
1764 | #endif |
---|
1765 | zdifpyc_s_sc(ji,jj) = 0.09 * zdifpyc_s_sc(ji,jj) * zstab_fac |
---|
1766 | zvispyc_s_sc(ji,jj) = zvispyc_s_sc(ji,jj) * zstab_fac |
---|
1767 | #ifdef key_osm_debug |
---|
1768 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1769 | WRITE(narea+100,'(2(a,g11.3))')' 2nd shot at: zdifpyc_s_sc',zdifpyc_s_sc(ji,jj) ,' zvispyc_s_sc=',zvispyc_s_sc(ji,jj) |
---|
1770 | FLUSH(narea+100) |
---|
1771 | END IF |
---|
1772 | #endif |
---|
1773 | |
---|
1774 | zdifpyc_s_sc(ji,jj) = MAX( zdifpyc_s_sc(ji,jj), -0.5 * zdifpyc_n_sc(ji,jj) ) |
---|
1775 | zvispyc_s_sc(ji,jj) = MAX( zvispyc_s_sc(ji,jj), -0.5 * zvispyc_n_sc(ji,jj) ) |
---|
1776 | #ifdef key_osm_debug |
---|
1777 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1778 | WRITE(narea+100,'(2(a,g11.3))')' Final zdifpyc_s_sc',zdifpyc_s_sc(ji,jj) ,' zvispyc_s_sc=',zvispyc_s_sc(ji,jj) |
---|
1779 | FLUSH(narea+100) |
---|
1780 | END IF |
---|
1781 | #endif |
---|
1782 | |
---|
1783 | zbeta_d_sc(ji,jj) = 1.0 - ( ( zdifpyc_n_sc(ji,jj) + 1.4 * zdifpyc_s_sc(ji,jj) ) / ( zdifml_sc(ji,jj) + epsln ) )**p2third |
---|
1784 | zbeta_v_sc(ji,jj) = 1.0 - 2.0 * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / ( zvisml_sc(ji,jj) + epsln ) |
---|
1785 | ELSE |
---|
1786 | zbeta_d_sc(ji,jj) = 1.0 |
---|
1787 | zbeta_v_sc(ji,jj) = 1.0 |
---|
1788 | ENDIF |
---|
1789 | #ifdef key_osm_debug |
---|
1790 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1791 | WRITE(narea+100,'(2(a,g11.3))')'lconv=T: zbeta_d_sc',zbeta_d_sc(ji,jj) ,' zbeta_v_sc=',zbeta_v_sc(ji,jj) |
---|
1792 | FLUSH(narea+100) |
---|
1793 | END IF |
---|
1794 | #endif |
---|
1795 | ELSE ! conv, stable |
---|
1796 | zdifml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
1797 | zvisml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
1798 | #ifdef key_osm_debug |
---|
1799 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
1800 | WRITE(narea+100,'(a,g11.3)')'End of 1st major loop of osm_diffusivity_viscositys, lconv=F: zdifml_sc=',zdifml_sc(ji,jj),' zvisml_sc=',zvisml_sc(ji,jj) |
---|
1801 | FLUSH(narea+100) |
---|
1802 | END IF |
---|
1803 | #endif |
---|
1804 | END IF |
---|
1805 | |
---|
1806 | END DO |
---|
1807 | END DO |
---|
1808 | ! |
---|
1809 | DO jj = 2, jpjm1 |
---|
1810 | DO ji = 2, jpim1 |
---|
1811 | IF ( lconv(ji,jj) ) THEN |
---|
1812 | DO jk = 2, imld(ji,jj) ! mixed layer diffusivity |
---|
1813 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
1814 | ! |
---|
1815 | zdiffut(ji,jj,jk) = zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
---|
1816 | ! |
---|
1817 | zviscos(ji,jj,jk) = zvisml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_v_sc(ji,jj) * zznd_ml ) & |
---|
1818 | & * ( 1.0 - 0.5 * zznd_ml**2 ) |
---|
1819 | END DO |
---|
1820 | ! pycnocline |
---|
1821 | IF ( lpyc(ji,jj) ) THEN |
---|
1822 | ! Diffusivity profile in the pycnocline given by cubic polynomial. |
---|
1823 | za_cubic = 0.5 |
---|
1824 | zb_cubic = -1.75 * zdifpyc_s_sc(ji,jj) / zdifpyc_n_sc(ji,jj) |
---|
1825 | zd_cubic = ( zdh(ji,jj) * zdifml_sc(ji,jj) / zhml(ji,jj) * SQRT( 1.0 - zbeta_d_sc(ji,jj) ) * ( 2.5 * zbeta_d_sc(ji,jj) - 1.0 ) & |
---|
1826 | & - 0.85 * zdifpyc_s_sc(ji,jj) ) / MAX(zdifpyc_n_sc(ji,jj), 1.e-8) |
---|
1827 | zd_cubic = zd_cubic - zb_cubic - 2.0 * ( 1.0 - za_cubic - zb_cubic ) |
---|
1828 | zc_cubic = 1.0 - za_cubic - zb_cubic - zd_cubic |
---|
1829 | DO jk = imld(ji,jj) , ibld(ji,jj) |
---|
1830 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / MAX(zdh(ji,jj), 1.e-6) |
---|
1831 | ! |
---|
1832 | zdiffut(ji,jj,jk) = zdifpyc_n_sc(ji,jj) * ( za_cubic + zb_cubic * zznd_pyc + zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
---|
1833 | |
---|
1834 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdifpyc_s_sc(ji,jj) * ( 1.75 * zznd_pyc - 0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ) |
---|
1835 | END DO |
---|
1836 | ! viscosity profiles. |
---|
1837 | za_cubic = 0.5 |
---|
1838 | zb_cubic = -1.75 * zvispyc_s_sc(ji,jj) / zvispyc_n_sc(ji,jj) |
---|
1839 | zd_cubic = ( 0.5 * zvisml_sc(ji,jj) * zdh(ji,jj) / zhml(ji,jj) - 0.85 * zvispyc_s_sc(ji,jj) ) / MAX(zvispyc_n_sc(ji,jj), 1.e-8) |
---|
1840 | zd_cubic = zd_cubic - zb_cubic - 2.0 * ( 1.0 - za_cubic - zb_cubic ) |
---|
1841 | zc_cubic = 1.0 - za_cubic - zb_cubic - zd_cubic |
---|
1842 | DO jk = imld(ji,jj) , ibld(ji,jj) |
---|
1843 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / MAX(zdh(ji,jj), 1.e-6) |
---|
1844 | zviscos(ji,jj,jk) = zvispyc_n_sc(ji,jj) * ( za_cubic + zb_cubic * zznd_pyc + zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
---|
1845 | zviscos(ji,jj,jk) = zviscos(ji,jj,jk) + zvispyc_s_sc(ji,jj) * ( 1.75 * zznd_pyc - 0.15 * zznd_pyc**2 -0.2 * zznd_pyc**3 ) |
---|
1846 | END DO |
---|
1847 | IF ( zdhdt(ji,jj) > 0._wp ) THEN |
---|
1848 | zdiffut(ji,jj,ibld(ji,jj)+1) = MAX( 0.5 * zdhdt(ji,jj) * e3w_n(ji,jj,ibld(ji,jj)+1), 1.0e-6 ) |
---|
1849 | zviscos(ji,jj,ibld(ji,jj)+1) = MAX( 0.5 * zdhdt(ji,jj) * e3w_n(ji,jj,ibld(ji,jj)+1), 1.0e-6 ) |
---|
1850 | ELSE |
---|
1851 | zdiffut(ji,jj,ibld(ji,jj)) = 0._wp |
---|
1852 | zviscos(ji,jj,ibld(ji,jj)) = 0._wp |
---|
1853 | ENDIF |
---|
1854 | ENDIF |
---|
1855 | ELSE |
---|
1856 | ! stable conditions |
---|
1857 | DO jk = 2, ibld(ji,jj) |
---|
1858 | zznd_ml = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
1859 | zdiffut(ji,jj,jk) = 0.75 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zznd_ml )**1.5 |
---|
1860 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * (1.0 - zznd_ml) * ( 1.0 - zznd_ml**2 ) |
---|
1861 | END DO |
---|
1862 | |
---|
1863 | IF ( zdhdt(ji,jj) > 0._wp ) THEN |
---|
1864 | zdiffut(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 1.0e-6) * e3w_n(ji, jj, ibld(ji,jj)) |
---|
1865 | zviscos(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 1.0e-6) * e3w_n(ji, jj, ibld(ji,jj)) |
---|
1866 | ENDIF |
---|
1867 | ENDIF ! end if ( lconv ) |
---|
1868 | ! |
---|
1869 | END DO ! end of ji loop |
---|
1870 | END DO ! end of jj loop |
---|
1871 | |
---|
1872 | END SUBROUTINE zdf_osm_diffusivity_viscosity |
---|
1873 | |
---|
1874 | SUBROUTINE zdf_osm_osbl_state( lconv, lshear, j_ddh, zwb_ent, zwb_min, zshear ) |
---|
1875 | |
---|
1876 | !!--------------------------------------------------------------------- |
---|
1877 | !! *** ROUTINE zdf_osm_osbl_state *** |
---|
1878 | !! |
---|
1879 | !! ** Purpose : Determines the state of the OSBL, stable/unstable, shear/ noshear. Also determines shear production, entrainment buoyancy flux and interfacial Richardson number |
---|
1880 | !! |
---|
1881 | !! ** Method : |
---|
1882 | !! |
---|
1883 | !! !!---------------------------------------------------------------------- |
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1884 | |
---|
1885 | INTEGER, DIMENSION(jpi,jpj) :: j_ddh ! j_ddh = 0, active shear layer; j_ddh=1, shear layer not active; j_ddh=2 shear production low. |
---|
1886 | |
---|
1887 | LOGICAL, DIMENSION(jpi,jpj) :: lconv, lshear |
---|
1888 | |
---|
1889 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent, zwb_min ! Buoyancy fluxes at base of well-mixed layer. |
---|
1890 | REAL(wp), DIMENSION(jpi,jpj) :: zshear ! production of TKE due to shear across the pycnocline |
---|
1891 | |
---|
1892 | ! Local Variables |
---|
1893 | |
---|
1894 | INTEGER :: jj, ji |
---|
1895 | |
---|
1896 | REAL(wp), DIMENSION(jpi,jpj) :: zekman |
---|
1897 | REAL(wp), DIMENSION(jpi,jpj) :: zri_p, zri_b ! Richardson numbers |
---|
1898 | REAL(wp) :: zshear_u, zshear_v, zwb_shr |
---|
1899 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
---|
1900 | |
---|
1901 | REAL, PARAMETER :: za_shr = 0.4, zb_shr = 6.5, za_wb_s = 0.8 |
---|
1902 | REAL, PARAMETER :: zalpha_c = 0.2, zalpha_lc = 0.03 |
---|
1903 | REAL, PARAMETER :: zalpha_ls = 0.06, zalpha_s = 0.15 |
---|
1904 | REAL, PARAMETER :: rn_ri_p_thresh = 27.0 |
---|
1905 | REAL, PARAMETER :: zri_c = 0.25 |
---|
1906 | REAL, PARAMETER :: zek = 4.0 |
---|
1907 | REAL, PARAMETER :: zrot=0._wp ! dummy rotation rate of surface stress. |
---|
1908 | |
---|
1909 | ! Determins stability and set flag lconv |
---|
1910 | DO jj = 2, jpjm1 |
---|
1911 | DO ji = 2, jpim1 |
---|
1912 | IF ( zhol(ji,jj) < 0._wp ) THEN |
---|
1913 | lconv(ji,jj) = .TRUE. |
---|
1914 | ELSE |
---|
1915 | lconv(ji,jj) = .FALSE. |
---|
1916 | ENDIF |
---|
1917 | END DO |
---|
1918 | END DO |
---|
1919 | |
---|
1920 | zekman(:,:) = EXP( - zek * ABS( ff_t(:,:) ) * zhbl(:,:) / MAX(zustar(:,:), 1.e-8 ) ) |
---|
1921 | |
---|
1922 | zshear(:,:) = 0._wp |
---|
1923 | #ifdef key_osm_debug |
---|
1924 | IF(narea==nn_narea_db) THEN |
---|
1925 | ji=iloc_db; jj=jloc_db |
---|
1926 | WRITE(narea+100,'(a,g11.3)') & |
---|
1927 | & 'zdf_osm_osbl_state start: zekman=', zekman(ji,jj) |
---|
1928 | FLUSH(narea+100) |
---|
1929 | END IF |
---|
1930 | #endif |
---|
1931 | j_ddh(:,:) = 1 |
---|
1932 | |
---|
1933 | DO jj = 2, jpjm1 |
---|
1934 | DO ji = 2, jpim1 |
---|
1935 | IF ( lconv(ji,jj) ) THEN |
---|
1936 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
1937 | zri_p(ji,jj) = MAX ( SQRT( zdb_bl(ji,jj) * zdh(ji,jj) / MAX( zdu_bl(ji,jj)**2 + zdv_bl(ji,jj)**2, 1.e-8) ) * ( zhbl(ji,jj) / zdh(ji,jj) ) * ( zvstr(ji,jj) / MAX( zustar(ji,jj), 1.e-6 ) )**2 & |
---|
1938 | & / MAX( zekman(ji,jj), 1.e-6 ) , 5._wp ) |
---|
1939 | |
---|
1940 | IF ( ff_t(ji,jj) >= 0._wp ) THEN |
---|
1941 | ! Northern Hemisphere |
---|
1942 | zri_b(ji,jj) = zdb_ml(ji,jj) * zdh(ji,jj) / ( MAX( zdu_ml(ji,jj), 1.e-5 )**2 + MAX( -zdv_ml(ji,jj), 1.e-5)**2 ) |
---|
1943 | ELSE |
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1944 | ! Southern Hemisphere |
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1945 | zri_b(ji,jj) = zdb_ml(ji,jj) * zdh(ji,jj) / ( MAX( zdu_ml(ji,jj), 1.e-5 )**2 + MAX( zdv_ml(ji,jj), 1.e-5)**2 ) |
---|
1946 | ENDIF |
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1947 | zshear(ji,jj) = za_shr * zekman(ji,jj) * ( MAX( zustar(ji,jj)**2 * zdu_ml(ji,jj) / zhbl(ji,jj), 0._wp ) + zb_shr * MAX( -ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) * zdv_ml(ji,jj) / zhbl(ji,jj), 0._wp ) ) |
---|
1948 | #ifdef key_osm_debug |
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1949 | ! IF(narea==nn_narea_db)THEN |
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1950 | ! WRITE(narea+100,'(2(a,i10.4))')'ji',ji,'jj',jj |
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1951 | ! WRITE(narea+100,'(2(a,i10.4))')'iloc_db',iloc_db,'jloc_db',jloc_db |
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1952 | ! WRITE(narea+100,'(2(a,i10.4))')'iloc_db+',mi0(nn_idb),'jloc_db+',mj0(nn_jdb) |
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1953 | ! FLUSH(narea+100) |
---|
1954 | ! END IF |
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1955 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
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1956 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state 1st zshear: zshear=',zshear(ji,jj) |
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1957 | WRITE(narea+100,'(2(a,g11.3))')'zdf_osm_osbl_state 1st zshear: zri_b=',zri_b(ji,jj),' zri_p=',zri_p(ji,jj) |
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1958 | FLUSH(narea+100) |
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1959 | END IF |
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1960 | #endif |
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1961 | ! Stability Dependence |
---|
1962 | zshear(ji,jj) = zshear(ji,jj) * EXP( -0.75 * MAX(0._wp,( zri_b(ji,jj) - zri_c ) / zri_c ) ) |
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1963 | #ifdef key_osm_debug |
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1964 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
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1965 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state 1st zshear: zshear inc ri part=',zshear(ji,jj) |
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1966 | FLUSH(narea+100) |
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1967 | END IF |
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1968 | #endif |
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1969 | |
---|
1970 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
1971 | ! Test ensures j_ddh=0 is not selected. Change to zri_p<27 when ! |
---|
1972 | ! full code available ! |
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1973 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
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1974 | IF ( zshear(ji,jj) > 1.e-10 ) THEN |
---|
1975 | IF ( zri_p(ji,jj) < rn_ri_p_thresh .AND. MIN(hu_n(ji,jj), hu_n(ji-1,jj), hv_n(ji,jj), hv_n(ji,jj-1))>100._wp ) THEN |
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1976 | ! Growing shear layer |
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1977 | j_ddh(ji,jj) = 0 |
---|
1978 | lshear(ji,jj) = .TRUE. |
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1979 | ELSE |
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1980 | j_ddh(ji,jj) = 1 |
---|
1981 | ! IF ( zri_b <= 1.5 .and. zshear(ji,jj) > 0._wp ) THEN |
---|
1982 | ! shear production large enough to determine layer charcteristics, but can't maintain a shear layer. |
---|
1983 | lshear(ji,jj) = .TRUE. |
---|
1984 | ! ELSE |
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1985 | ENDIF |
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1986 | ELSE |
---|
1987 | j_ddh(ji,jj) = 2 |
---|
1988 | lshear(ji,jj) = .FALSE. |
---|
1989 | ENDIF |
---|
1990 | ! Shear production may not be zero, but is small and doesn't determine characteristics of pycnocline. |
---|
1991 | ! zshear(ji,jj) = 0.5 * zshear(ji,jj) |
---|
1992 | ! lshear(ji,jj) = .FALSE. |
---|
1993 | ! ENDIF |
---|
1994 | ELSE ! zdb_bl test, note zshear set to zero |
---|
1995 | j_ddh(ji,jj) = 2 |
---|
1996 | lshear(ji,jj) = .FALSE. |
---|
1997 | ENDIF |
---|
1998 | ENDIF |
---|
1999 | END DO |
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2000 | END DO |
---|
2001 | |
---|
2002 | ! Calculate entrainment buoyancy flux due to surface fluxes. |
---|
2003 | |
---|
2004 | DO jj = 2, jpjm1 |
---|
2005 | DO ji = 2, jpim1 |
---|
2006 | IF ( lconv(ji,jj) ) THEN |
---|
2007 | zwcor = ABS(ff_t(ji,jj)) * zhbl(ji,jj) + epsln |
---|
2008 | zrf_conv = TANH( ( zwstrc(ji,jj) / zwcor )**0.69 ) |
---|
2009 | zrf_shear = TANH( ( zustar(ji,jj) / zwcor )**0.69 ) |
---|
2010 | zrf_langmuir = TANH( ( zwstrl(ji,jj) / zwcor )**0.69 ) |
---|
2011 | IF (nn_osm_SD_reduce > 0 ) THEN |
---|
2012 | ! Effective Stokes drift already reduced from surface value |
---|
2013 | zr_stokes = 1.0_wp |
---|
2014 | ELSE |
---|
2015 | ! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd, |
---|
2016 | ! requires further reduction where BL is deep |
---|
2017 | zr_stokes = 1.0 - EXP( -25.0 * dstokes(ji,jj) / hbl(ji,jj) & |
---|
2018 | & * ( 1.0 + 4.0 * dstokes(ji,jj) / hbl(ji,jj) ) ) |
---|
2019 | END IF |
---|
2020 | zwb_ent(ji,jj) = - 2.0 * zalpha_c * zrf_conv * zwbav(ji,jj) & |
---|
2021 | & - zalpha_s * zrf_shear * zustar(ji,jj)**3 /zhml(ji,jj) & |
---|
2022 | & + zr_stokes * ( zalpha_s * EXP( -1.5 * zla(ji,jj) ) * zrf_shear * zustar(ji,jj)**3 & |
---|
2023 | & - zrf_langmuir * zalpha_lc * zwstrl(ji,jj)**3 ) / zhml(ji,jj) |
---|
2024 | ! |
---|
2025 | #ifdef key_osm_debug |
---|
2026 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2027 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state conv+shear0/lang: zwb_ent=',zwb_ent(ji,jj) |
---|
2028 | FLUSH(narea+100) |
---|
2029 | END IF |
---|
2030 | #endif |
---|
2031 | ENDIF |
---|
2032 | END DO ! ji loop |
---|
2033 | END DO ! jj loop |
---|
2034 | |
---|
2035 | zwb_min(:,:) = 0._wp |
---|
2036 | |
---|
2037 | DO jj = 2, jpjm1 |
---|
2038 | DO ji = 2, jpim1 |
---|
2039 | IF ( lshear(ji,jj) ) THEN |
---|
2040 | IF ( lconv(ji,jj) ) THEN |
---|
2041 | ! Unstable OSBL |
---|
2042 | zwb_shr = -za_wb_s * zri_b(ji,jj) * zshear(ji,jj) |
---|
2043 | #ifdef key_osm_debug |
---|
2044 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2045 | WRITE(narea+100,'(a,g11.3)')'zdf_osm_osbl_state 1st zwb_shr: zwb_shr=',zwb_shr |
---|
2046 | FLUSH(narea+100) |
---|
2047 | END IF |
---|
2048 | #endif |
---|
2049 | IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
2050 | |
---|
2051 | ! ! Developing shear layer, additional shear production possible. |
---|
2052 | |
---|
2053 | ! zshear_u = MAX( zustar(ji,jj)**2 * MAX( zdu_ml(ji,jj), 0._wp ) / zhbl(ji,jj), 0._wp ) |
---|
2054 | ! zshear(ji,jj) = zshear(ji,jj) + zshear_u * ( 1.0 - MIN( zri_p(ji,jj) / rn_ri_p_thresh, 1.d0 )**2 ) |
---|
2055 | ! zshear(ji,jj) = MIN( zshear(ji,jj), zshear_u ) |
---|
2056 | |
---|
2057 | ! zwb_shr = zwb_shr - 0.25 * MAX ( zshear_u, 0._wp) * ( 1.0 - MIN( zri_p(ji,jj) / rn_ri_p_thresh, 1._wp )**2 ) |
---|
2058 | ! zwb_shr = MAX( zwb_shr, -0.25 * zshear_u ) |
---|
2059 | #ifdef key_osm_debug |
---|
2060 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2061 | WRITE(narea+100,'(3(a,g11.3))')'zdf_osm_osbl_state j_ddh(ji,jj) == 0:zwb_shr=',zwb_shr, & |
---|
2062 | & ' zshear=',zshear(ji,jj),' zshear_u=', zshear_u |
---|
2063 | FLUSH(narea+100) |
---|
2064 | END IF |
---|
2065 | #endif |
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2066 | |
---|
2067 | ENDIF |
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2068 | zwb_ent(ji,jj) = zwb_ent(ji,jj) + zwb_shr |
---|
2069 | ! zwb_min(ji,jj) = zwb_ent(ji,jj) + zdh(ji,jj) / zhbl(ji,jj) * zwb0(ji,jj) |
---|
2070 | ELSE ! IF ( lconv ) THEN - ENDIF |
---|
2071 | ! Stable OSBL - shear production not coded for first attempt. |
---|
2072 | ENDIF ! lconv |
---|
2073 | ENDIF ! lshear |
---|
2074 | IF ( lconv(ji,jj) ) THEN |
---|
2075 | ! Unstable OSBL |
---|
2076 | zwb_min(ji,jj) = zwb_ent(ji,jj) + zdh(ji,jj) / zhbl(ji,jj) * 2._wp * zwbav(ji,jj) |
---|
2077 | ENDIF ! lconv |
---|
2078 | #ifdef key_osm_debug |
---|
2079 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2080 | WRITE(narea+100,'(3(a,g11.3))')'end of zdf_osm_osbl_state:zwb_ent=',zwb_ent(ji,jj), & |
---|
2081 | & ' zwb_min=',zwb_min(ji,jj), ' zwb0tot=', zwb0tot(ji,jj), ' zwbav= ', zwbav(ji,jj) |
---|
2082 | FLUSH(narea+100) |
---|
2083 | END IF |
---|
2084 | #endif |
---|
2085 | END DO ! ji |
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2086 | END DO ! jj |
---|
2087 | END SUBROUTINE zdf_osm_osbl_state |
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2088 | |
---|
2089 | |
---|
2090 | SUBROUTINE zdf_osm_vertical_average( jnlev_av, jp_ext, zt, zs, zb, zu, zv, zdt, zds, zdb, zdu, zdv ) |
---|
2091 | !!--------------------------------------------------------------------- |
---|
2092 | !! *** ROUTINE zdf_vertical_average *** |
---|
2093 | !! |
---|
2094 | !! ** Purpose : Determines vertical averages from surface to jnlev. |
---|
2095 | !! |
---|
2096 | !! ** Method : Averages are calculated from the surface to jnlev. |
---|
2097 | !! The external level used to calculate differences is ibld+ibld_ext |
---|
2098 | !! |
---|
2099 | !!---------------------------------------------------------------------- |
---|
2100 | |
---|
2101 | INTEGER, DIMENSION(jpi,jpj) :: jnlev_av ! Number of levels to average over. |
---|
2102 | INTEGER, DIMENSION(jpi,jpj) :: jp_ext |
---|
2103 | |
---|
2104 | ! Alan: do we need zb? |
---|
2105 | REAL(wp), DIMENSION(jpi,jpj) :: zt, zs, zb ! Average temperature and salinity |
---|
2106 | REAL(wp), DIMENSION(jpi,jpj) :: zu,zv ! Average current components |
---|
2107 | REAL(wp), DIMENSION(jpi,jpj) :: zdt, zds, zdb ! Difference between average and value at base of OSBL |
---|
2108 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Difference for velocity components. |
---|
2109 | |
---|
2110 | INTEGER :: jk, ji, jj, ibld_ext |
---|
2111 | REAL(wp) :: zthick, zthermal, zbeta |
---|
2112 | |
---|
2113 | |
---|
2114 | zt = 0._wp |
---|
2115 | zs = 0._wp |
---|
2116 | zu = 0._wp |
---|
2117 | zv = 0._wp |
---|
2118 | DO jj = 2, jpjm1 ! Vertical slab |
---|
2119 | DO ji = 2, jpim1 |
---|
2120 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
---|
2121 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
2122 | ! average over depth of boundary layer |
---|
2123 | zthick = epsln |
---|
2124 | DO jk = 2, jnlev_av(ji,jj) |
---|
2125 | zthick = zthick + e3t_n(ji,jj,jk) |
---|
2126 | zt(ji,jj) = zt(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_tem) |
---|
2127 | zs(ji,jj) = zs(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_sal) |
---|
2128 | zu(ji,jj) = zu(ji,jj) + e3t_n(ji,jj,jk) & |
---|
2129 | & * ( ub(ji,jj,jk) + ub(ji - 1,jj,jk) ) & |
---|
2130 | & / MAX( 1. , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
2131 | zv(ji,jj) = zv(ji,jj) + e3t_n(ji,jj,jk) & |
---|
2132 | & * ( vb(ji,jj,jk) + vb(ji,jj - 1,jk) ) & |
---|
2133 | & / MAX( 1. , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
2134 | END DO |
---|
2135 | zt(ji,jj) = zt(ji,jj) / zthick |
---|
2136 | zs(ji,jj) = zs(ji,jj) / zthick |
---|
2137 | zu(ji,jj) = zu(ji,jj) / zthick |
---|
2138 | zv(ji,jj) = zv(ji,jj) / zthick |
---|
2139 | zb(ji,jj) = grav * zthermal * zt(ji,jj) - grav * zbeta * zs(ji,jj) |
---|
2140 | ibld_ext = jnlev_av(ji,jj) + jp_ext(ji,jj) |
---|
2141 | IF ( ibld_ext < mbkt(ji,jj) ) THEN |
---|
2142 | zdt(ji,jj) = zt(ji,jj) - tsn(ji,jj,ibld_ext,jp_tem) |
---|
2143 | zds(ji,jj) = zs(ji,jj) - tsn(ji,jj,ibld_ext,jp_sal) |
---|
2144 | zdu(ji,jj) = zu(ji,jj) - ( ub(ji,jj,ibld_ext) + ub(ji-1,jj,ibld_ext ) ) & |
---|
2145 | & / MAX(1. , umask(ji,jj,ibld_ext ) + umask(ji-1,jj,ibld_ext ) ) |
---|
2146 | zdv(ji,jj) = zv(ji,jj) - ( vb(ji,jj,ibld_ext) + vb(ji,jj-1,ibld_ext ) ) & |
---|
2147 | & / MAX(1. , vmask(ji,jj,ibld_ext ) + vmask(ji,jj-1,ibld_ext ) ) |
---|
2148 | zdb(ji,jj) = grav * zthermal * zdt(ji,jj) - grav * zbeta * zds(ji,jj) |
---|
2149 | ELSE |
---|
2150 | zdt(ji,jj) = 0._wp |
---|
2151 | zds(ji,jj) = 0._wp |
---|
2152 | zdu(ji,jj) = 0._wp |
---|
2153 | zdv(ji,jj) = 0._wp |
---|
2154 | zdb(ji,jj) = 0._wp |
---|
2155 | ENDIF |
---|
2156 | END DO |
---|
2157 | END DO |
---|
2158 | END SUBROUTINE zdf_osm_vertical_average |
---|
2159 | |
---|
2160 | SUBROUTINE zdf_osm_velocity_rotation( zcos_w, zsin_w, zu, zv, zdu, zdv ) |
---|
2161 | !!--------------------------------------------------------------------- |
---|
2162 | !! *** ROUTINE zdf_velocity_rotation *** |
---|
2163 | !! |
---|
2164 | !! ** Purpose : Rotates frame of reference of averaged velocity components. |
---|
2165 | !! |
---|
2166 | !! ** Method : The velocity components are rotated into frame specified by zcos_w and zsin_w |
---|
2167 | !! |
---|
2168 | !!---------------------------------------------------------------------- |
---|
2169 | |
---|
2170 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_w, zsin_w ! Cos and Sin of rotation angle |
---|
2171 | REAL(wp), DIMENSION(jpi,jpj) :: zu, zv ! Components of current |
---|
2172 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Change in velocity components across pycnocline |
---|
2173 | |
---|
2174 | INTEGER :: ji, jj |
---|
2175 | REAL(wp) :: ztemp |
---|
2176 | |
---|
2177 | DO jj = 2, jpjm1 |
---|
2178 | DO ji = 2, jpim1 |
---|
2179 | ztemp = zu(ji,jj) |
---|
2180 | zu(ji,jj) = zu(ji,jj) * zcos_w(ji,jj) + zv(ji,jj) * zsin_w(ji,jj) |
---|
2181 | zv(ji,jj) = zv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
---|
2182 | ztemp = zdu(ji,jj) |
---|
2183 | zdu(ji,jj) = zdu(ji,jj) * zcos_w(ji,jj) + zdv(ji,jj) * zsin_w(ji,jj) |
---|
2184 | zdv(ji,jj) = zdv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
---|
2185 | END DO |
---|
2186 | END DO |
---|
2187 | END SUBROUTINE zdf_osm_velocity_rotation |
---|
2188 | |
---|
2189 | SUBROUTINE zdf_osm_osbl_state_fk( lpyc, lflux, lmle, zwb_fk ) |
---|
2190 | !!--------------------------------------------------------------------- |
---|
2191 | !! *** ROUTINE zdf_osm_osbl_state_fk *** |
---|
2192 | !! |
---|
2193 | !! ** Purpose : Determines the state of the OSBL and MLE layer. Info is returned in the logicals lpyc,lflux and lmle. Used with Fox-Kemper scheme. |
---|
2194 | !! lpyc :: determines whether pycnocline flux-grad relationship needs to be determined |
---|
2195 | !! lflux :: determines whether effects of surface flux extend below the base of the OSBL |
---|
2196 | !! lmle :: determines whether the layer with MLE is increasing with time or if base is relaxing towards hbl. |
---|
2197 | !! |
---|
2198 | !! ** Method : |
---|
2199 | !! |
---|
2200 | !! |
---|
2201 | !!---------------------------------------------------------------------- |
---|
2202 | |
---|
2203 | ! Outputs |
---|
2204 | LOGICAL, DIMENSION(jpi,jpj) :: lpyc, lflux, lmle |
---|
2205 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk |
---|
2206 | ! |
---|
2207 | REAL(wp), DIMENSION(jpi,jpj) :: znd_param |
---|
2208 | REAL(wp) :: zbuoy, ztmp, zpe_mle_layer |
---|
2209 | REAL(wp) :: zpe_mle_ref, zdbdz_mle_int |
---|
2210 | |
---|
2211 | znd_param(:,:) = 0._wp |
---|
2212 | |
---|
2213 | DO jj = 2, jpjm1 |
---|
2214 | DO ji = 2, jpim1 |
---|
2215 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
2216 | zwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) * ztmp * zdbds_mle(ji,jj) * zdbds_mle(ji,jj) |
---|
2217 | END DO |
---|
2218 | END DO |
---|
2219 | DO jj = 2, jpjm1 |
---|
2220 | DO ji = 2, jpim1 |
---|
2221 | ! |
---|
2222 | IF ( lconv(ji,jj) ) THEN |
---|
2223 | IF ( zhmle(ji,jj) > 1.2 * zhbl(ji,jj) ) THEN |
---|
2224 | zt_mle(ji,jj) = ( zt_mle(ji,jj) * zhmle(ji,jj) - zt_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
2225 | zs_mle(ji,jj) = ( zs_mle(ji,jj) * zhmle(ji,jj) - zs_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
2226 | zb_mle(ji,jj) = ( zb_mle(ji,jj) * zhmle(ji,jj) - zb_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
2227 | zdbdz_mle_int = ( zb_bl(ji,jj) - ( 2.0 * zb_mle(ji,jj) -zb_bl(ji,jj) ) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
2228 | ! Calculate potential energies of actual profile and reference profile. |
---|
2229 | zpe_mle_layer = 0._wp |
---|
2230 | zpe_mle_ref = 0._wp |
---|
2231 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
2232 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
2233 | |
---|
2234 | DO jk = ibld(ji,jj), mld_prof(ji,jj) |
---|
2235 | zbuoy = grav * ( zthermal * tsn(ji,jj,jk,jp_tem) - zbeta * tsn(ji,jj,jk,jp_sal) ) |
---|
2236 | zpe_mle_layer = zpe_mle_layer + zbuoy * gdepw_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
---|
2237 | zpe_mle_ref = zpe_mle_ref + ( zb_bl(ji,jj) - zdbdz_mle_int * ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) ) * gdepw_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
---|
2238 | END DO |
---|
2239 | ! Non-dimensional parameter to diagnose the presence of thermocline |
---|
2240 | |
---|
2241 | znd_param(ji,jj) = ( zpe_mle_layer - zpe_mle_ref ) * ABS( ff_t(ji,jj) ) / ( MAX( zwb_fk(ji,jj), 1.0e-10 ) * zhmle(ji,jj) ) |
---|
2242 | ENDIF |
---|
2243 | ENDIF |
---|
2244 | #ifdef key_osm_debug |
---|
2245 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2246 | WRITE(narea+100,'(4(a,g11.3))')'start of zdf_osm_osbl_state_fk: zwb_fk=',zwb_fk(ji,jj), & |
---|
2247 | & ' znd_param=',znd_param(ji,jj), ' zpe_mle_ref=', zpe_mle_ref, ' zpe_mle_layer=', zpe_mle_layer |
---|
2248 | FLUSH(narea+100) |
---|
2249 | END IF |
---|
2250 | #endif |
---|
2251 | END DO |
---|
2252 | END DO |
---|
2253 | |
---|
2254 | ! Diagnosis |
---|
2255 | DO jj = 2, jpjm1 |
---|
2256 | DO ji = 2, jpim1 |
---|
2257 | IF ( lconv(ji,jj) ) THEN |
---|
2258 | IF ( -2.0 * zwb_fk(ji,jj) / zwb_ent(ji,jj) > 0.5 ) THEN |
---|
2259 | IF ( zhmle(ji,jj) > 1.2 * zhbl(ji,jj) ) THEN |
---|
2260 | ! MLE layer growing |
---|
2261 | IF ( znd_param (ji,jj) > 100. ) THEN |
---|
2262 | ! Thermocline present |
---|
2263 | lflux(ji,jj) = .FALSE. |
---|
2264 | lmle(ji,jj) =.FALSE. |
---|
2265 | ELSE |
---|
2266 | ! Thermocline not present |
---|
2267 | lflux(ji,jj) = .TRUE. |
---|
2268 | lmle(ji,jj) = .TRUE. |
---|
2269 | ENDIF ! znd_param > 100 |
---|
2270 | ! |
---|
2271 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
---|
2272 | lpyc(ji,jj) = .FALSE. |
---|
2273 | ELSE |
---|
2274 | lpyc(ji,jj) = .TRUE. |
---|
2275 | ENDIF |
---|
2276 | ELSE |
---|
2277 | ! MLE layer restricted to OSBL or just below. |
---|
2278 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
---|
2279 | ! Weak stratification MLE layer can grow. |
---|
2280 | lpyc(ji,jj) = .FALSE. |
---|
2281 | lflux(ji,jj) = .TRUE. |
---|
2282 | lmle(ji,jj) = .TRUE. |
---|
2283 | ELSE |
---|
2284 | ! Strong stratification |
---|
2285 | lpyc(ji,jj) = .TRUE. |
---|
2286 | lflux(ji,jj) = .FALSE. |
---|
2287 | lmle(ji,jj) = .FALSE. |
---|
2288 | ENDIF ! zdb_bl < rn_mle_thresh_bl and |
---|
2289 | ENDIF ! zhmle > 1.2 zhbl |
---|
2290 | ELSE |
---|
2291 | lpyc(ji,jj) = .TRUE. |
---|
2292 | lflux(ji,jj) = .FALSE. |
---|
2293 | lmle(ji,jj) = .FALSE. |
---|
2294 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) lpyc(ji,jj) = .FALSE. |
---|
2295 | ENDIF ! -2.0 * zwb_fk(ji,jj) / zwb_ent > 0.5 |
---|
2296 | ELSE |
---|
2297 | ! Stable Boundary Layer |
---|
2298 | lpyc(ji,jj) = .FALSE. |
---|
2299 | lflux(ji,jj) = .FALSE. |
---|
2300 | lmle(ji,jj) = .FALSE. |
---|
2301 | ENDIF ! lconv |
---|
2302 | #ifdef key_osm_debug |
---|
2303 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2304 | WRITE(narea+100,'(3(a,g11.3),/,4(a,l2))')'end of zdf_osm_osbl_state_fk:zwb_ent=',zwb_ent(ji,jj), & |
---|
2305 | & ' zhmle=',zhmle(ji,jj), ' zhbl=', zhbl(ji,jj), & |
---|
2306 | & ' lpyc= ', lpyc(ji,jj), ' lflux= ', lflux(ji,jj), ' lmle= ', lmle(ji,jj), ' lconv= ', lconv(ji,jj) |
---|
2307 | FLUSH(narea+100) |
---|
2308 | END IF |
---|
2309 | #endif |
---|
2310 | END DO |
---|
2311 | END DO |
---|
2312 | END SUBROUTINE zdf_osm_osbl_state_fk |
---|
2313 | |
---|
2314 | SUBROUTINE zdf_osm_external_gradients(jbase, zdtdz, zdsdz, zdbdz ) |
---|
2315 | !!--------------------------------------------------------------------- |
---|
2316 | !! *** ROUTINE zdf_osm_external_gradients *** |
---|
2317 | !! |
---|
2318 | !! ** Purpose : Calculates the gradients below the OSBL |
---|
2319 | !! |
---|
2320 | !! ** Method : Uses ibld and ibld_ext to determine levels to calculate the gradient. |
---|
2321 | !! |
---|
2322 | !!---------------------------------------------------------------------- |
---|
2323 | |
---|
2324 | INTEGER, DIMENSION(jpi,jpj) :: jbase |
---|
2325 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz, zdsdz, zdbdz ! External gradients of temperature, salinity and buoyancy. |
---|
2326 | |
---|
2327 | INTEGER :: jj, ji, jkb, jkb1 |
---|
2328 | REAL(wp) :: zthermal, zbeta |
---|
2329 | |
---|
2330 | |
---|
2331 | DO jj = 2, jpjm1 |
---|
2332 | DO ji = 2, jpim1 |
---|
2333 | IF ( jbase(ji,jj)+1 < mbkt(ji,jj) ) THEN |
---|
2334 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
---|
2335 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
2336 | jkb = jbase(ji,jj) |
---|
2337 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
---|
2338 | zdtdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_tem) - tsn(ji,jj,jkb,jp_tem ) ) & |
---|
2339 | & / e3w_n(ji,jj,jkb1) |
---|
2340 | zdsdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_sal) - tsn(ji,jj,jkb,jp_sal ) ) & |
---|
2341 | & / e3w_n(ji,jj,jkb1) |
---|
2342 | zdbdz(ji,jj) = grav * zthermal * zdtdz(ji,jj) - grav * zbeta * zdsdz(ji,jj) |
---|
2343 | ELSE |
---|
2344 | zdtdz(ji,jj) = 0._wp |
---|
2345 | zdsdz(ji,jj) = 0._wp |
---|
2346 | zdbdz(ji,jj) = 0._wp |
---|
2347 | END IF |
---|
2348 | END DO |
---|
2349 | END DO |
---|
2350 | END SUBROUTINE zdf_osm_external_gradients |
---|
2351 | |
---|
2352 | SUBROUTINE zdf_osm_pycnocline_scalar_profiles( zdtdz, zdsdz, zdbdz, zalpha ) |
---|
2353 | |
---|
2354 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz, zdsdz, zdbdz ! gradients in the pycnocline |
---|
2355 | REAL(wp), DIMENSION(jpi,jpj) :: zalpha |
---|
2356 | |
---|
2357 | INTEGER :: jk, jj, ji |
---|
2358 | REAL(wp) :: ztgrad, zsgrad, zbgrad |
---|
2359 | REAL(wp) :: zgamma_b_nd, znd |
---|
2360 | REAL(wp) :: zzeta_m, zzeta_en, zbuoy_pyc_sc |
---|
2361 | REAL(wp), PARAMETER :: zgamma_b = 2.25, zzeta_sh = 0.15 |
---|
2362 | |
---|
2363 | DO jj = 2, jpjm1 |
---|
2364 | DO ji = 2, jpim1 |
---|
2365 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
2366 | IF ( lconv(ji,jj) ) THEN ! convective conditions |
---|
2367 | IF ( lpyc(ji,jj) ) THEN |
---|
2368 | zzeta_m = 0.1 + 0.3 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) ) |
---|
2369 | zalpha(ji,jj) = 2.0 * ( 1.0 - ( 0.80 * zzeta_m + 0.5 * SQRT( 3.14159 / zgamma_b ) ) * zdbdz_bl_ext(ji,jj) * zdh(ji,jj) / zdb_ml(ji,jj) ) / ( 0.723 + SQRT( 3.14159 / zgamma_b ) ) |
---|
2370 | zalpha(ji,jj) = MAX( zalpha(ji,jj), 0._wp ) |
---|
2371 | |
---|
2372 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
---|
2373 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
2374 | ! Commented lines in this section are not needed in new code, once tested ! |
---|
2375 | ! can be removed ! |
---|
2376 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
2377 | ! ztgrad = zalpha * zdt_ml(ji,jj) * ztmp + zdtdz_bl_ext(ji,jj) |
---|
2378 | ! zsgrad = zalpha * zds_ml(ji,jj) * ztmp + zdsdz_bl_ext(ji,jj) |
---|
2379 | zbgrad = zalpha(ji,jj) * zdb_ml(ji,jj) * ztmp + zdbdz_bl_ext(ji,jj) |
---|
2380 | zgamma_b_nd = zdbdz_bl_ext(ji,jj) * zdh(ji,jj) / MAX(zdb_ml(ji,jj), epsln) |
---|
2381 | DO jk = 2, ibld(ji,jj) |
---|
2382 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) * ztmp |
---|
2383 | IF ( znd <= zzeta_m ) THEN |
---|
2384 | ! zdtdz(ji,jj,jk) = zdtdz_bl_ext(ji,jj) + zalpha * zdt_ml(ji,jj) * ztmp * & |
---|
2385 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
2386 | ! zdsdz(ji,jj,jk) = zdsdz_bl_ext(ji,jj) + zalpha * zds_ml(ji,jj) * ztmp * & |
---|
2387 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
2388 | zdbdz(ji,jj,jk) = zdbdz_bl_ext(ji,jj) + zalpha(ji,jj) * zdb_ml(ji,jj) * ztmp * & |
---|
2389 | & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
2390 | ELSE |
---|
2391 | ! zdtdz(ji,jj,jk) = ztgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
---|
2392 | ! zdsdz(ji,jj,jk) = zsgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
---|
2393 | zdbdz(ji,jj,jk) = zbgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
---|
2394 | ENDIF |
---|
2395 | END DO |
---|
2396 | #ifdef key_osm_debug |
---|
2397 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2398 | WRITE(narea+100,'(a,/,3(a,g11.3),/,2(a,g11.3),/)')'end of zdf_osm_pycnocline_scalar_profiles:lconv=lpyc=T',& |
---|
2399 | & 'zzeta_m=', zzeta_m, ' zalpha=', zalpha(ji,jj), ' ztmp=', ztmp,& |
---|
2400 | & ' zbgrad=', zbgrad, ' zgamma_b_nd=', zgamma_b_nd |
---|
2401 | FLUSH(narea+100) |
---|
2402 | END IF |
---|
2403 | #endif |
---|
2404 | ENDIF ! if no pycnocline pycnocline gradients set to zero |
---|
2405 | ELSE |
---|
2406 | ! stable conditions |
---|
2407 | ! if pycnocline profile only defined when depth steady of increasing. |
---|
2408 | IF ( zdhdt(ji,jj) > 0.0 ) THEN ! Depth increasing, or steady. |
---|
2409 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
2410 | IF ( zhol(ji,jj) >= 0.5 ) THEN ! Very stable - 'thick' pycnocline |
---|
2411 | ztmp = 1._wp/MAX(zhbl(ji,jj), epsln) |
---|
2412 | ztgrad = zdt_bl(ji,jj) * ztmp |
---|
2413 | zsgrad = zds_bl(ji,jj) * ztmp |
---|
2414 | zbgrad = zdb_bl(ji,jj) * ztmp |
---|
2415 | DO jk = 2, ibld(ji,jj) |
---|
2416 | znd = gdepw_n(ji,jj,jk) * ztmp |
---|
2417 | zdtdz(ji,jj,jk) = ztgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
2418 | zdbdz(ji,jj,jk) = zbgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
2419 | zdsdz(ji,jj,jk) = zsgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
2420 | END DO |
---|
2421 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
2422 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
---|
2423 | ztgrad = zdt_bl(ji,jj) * ztmp |
---|
2424 | zsgrad = zds_bl(ji,jj) * ztmp |
---|
2425 | zbgrad = zdb_bl(ji,jj) * ztmp |
---|
2426 | DO jk = 2, ibld(ji,jj) |
---|
2427 | znd = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) * ztmp |
---|
2428 | zdtdz(ji,jj,jk) = ztgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
2429 | zdbdz(ji,jj,jk) = zbgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
2430 | zdsdz(ji,jj,jk) = zsgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
2431 | END DO |
---|
2432 | ENDIF ! IF (zhol >=0.5) |
---|
2433 | #ifdef key_osm_debug |
---|
2434 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2435 | WRITE(narea+100,'(3(a,g11.3))')'end of zdf_osm_pycnocline_scalar_profiles:lconv=F ztgrad=',& |
---|
2436 | & ztgrad, ' zsgrad=', zsgrad, ' zbgrad=', zbgrad |
---|
2437 | FLUSH(narea+100) |
---|
2438 | END IF |
---|
2439 | #endif |
---|
2440 | ENDIF ! IF (zdb_bl> 0.) |
---|
2441 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
---|
2442 | ENDIF ! IF (lconv) |
---|
2443 | ENDIF ! IF ( ibld(ji,jj) < mbkt(ji,jj) ) |
---|
2444 | END DO |
---|
2445 | END DO |
---|
2446 | |
---|
2447 | END SUBROUTINE zdf_osm_pycnocline_scalar_profiles |
---|
2448 | |
---|
2449 | SUBROUTINE zdf_osm_pycnocline_shear_profiles( zdudz, zdvdz ) |
---|
2450 | !!--------------------------------------------------------------------- |
---|
2451 | !! *** ROUTINE zdf_osm_pycnocline_shear_profiles *** |
---|
2452 | !! |
---|
2453 | !! ** Purpose : Calculates velocity shear in the pycnocline |
---|
2454 | !! |
---|
2455 | !! ** Method : |
---|
2456 | !! |
---|
2457 | !!---------------------------------------------------------------------- |
---|
2458 | |
---|
2459 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz, zdvdz |
---|
2460 | |
---|
2461 | INTEGER :: jk, jj, ji |
---|
2462 | REAL(wp) :: zugrad, zvgrad, znd |
---|
2463 | REAL(wp) :: zzeta_v = 0.45 |
---|
2464 | ! |
---|
2465 | DO jj = 2, jpjm1 |
---|
2466 | DO ji = 2, jpim1 |
---|
2467 | ! |
---|
2468 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
2469 | IF ( lconv (ji,jj) ) THEN |
---|
2470 | ! Unstable conditions. Shouldn;t be needed with no pycnocline code. |
---|
2471 | ! zugrad = 0.7 * zdu_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
---|
2472 | ! & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
---|
2473 | ! & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
---|
2474 | !Alan is this right? |
---|
2475 | ! zvgrad = ( 0.7 * zdv_ml(ji,jj) + & |
---|
2476 | ! & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
---|
2477 | ! & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
---|
2478 | ! & )/ (zdh(ji,jj) + epsln ) |
---|
2479 | ! DO jk = 2, ibld(ji,jj) - 1 + ibld_ext |
---|
2480 | ! znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
---|
2481 | ! IF ( znd <= 0.0 ) THEN |
---|
2482 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
---|
2483 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
---|
2484 | ! ELSE |
---|
2485 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
---|
2486 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
---|
2487 | ! ENDIF |
---|
2488 | ! END DO |
---|
2489 | ELSE |
---|
2490 | ! stable conditions |
---|
2491 | zugrad = 3.25 * zdu_bl(ji,jj) / zhbl(ji,jj) |
---|
2492 | zvgrad = 2.75 * zdv_bl(ji,jj) / zhbl(ji,jj) |
---|
2493 | DO jk = 2, ibld(ji,jj) |
---|
2494 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
2495 | IF ( znd < 1.0 ) THEN |
---|
2496 | zdudz(ji,jj,jk) = zugrad * EXP( -40.0 * ( znd - 1.0 )**2 ) |
---|
2497 | ELSE |
---|
2498 | zdudz(ji,jj,jk) = zugrad * EXP( -20.0 * ( znd - 1.0 )**2 ) |
---|
2499 | ENDIF |
---|
2500 | zdvdz(ji,jj,jk) = zvgrad * EXP( -20.0 * ( znd - 0.85 )**2 ) |
---|
2501 | END DO |
---|
2502 | ENDIF |
---|
2503 | ! |
---|
2504 | END IF ! IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) |
---|
2505 | END DO |
---|
2506 | END DO |
---|
2507 | END SUBROUTINE zdf_osm_pycnocline_shear_profiles |
---|
2508 | |
---|
2509 | SUBROUTINE zdf_osm_calculate_dhdt( zdhdt ) |
---|
2510 | !!--------------------------------------------------------------------- |
---|
2511 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
---|
2512 | !! |
---|
2513 | !! ** Purpose : Calculates the rate at which hbl changes. |
---|
2514 | !! |
---|
2515 | !! ** Method : |
---|
2516 | !! |
---|
2517 | !!---------------------------------------------------------------------- |
---|
2518 | |
---|
2519 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! Rate of change of hbl |
---|
2520 | |
---|
2521 | INTEGER :: jj, ji |
---|
2522 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi |
---|
2523 | REAL(wp) :: zvel_max,zddhdt |
---|
2524 | REAL(wp), PARAMETER :: zzeta_m = 0.3 |
---|
2525 | REAL(wp), PARAMETER :: zgamma_c = 2.0 |
---|
2526 | REAL(wp), PARAMETER :: zdhoh = 0.1 |
---|
2527 | REAL(wp), PARAMETER :: zalpha_b = 0.3 |
---|
2528 | REAL, PARAMETER :: a_ddh = 2.5, a_ddh_2 = 3.5 ! also in pycnocline_depth |
---|
2529 | |
---|
2530 | DO jj = 2, jpjm1 |
---|
2531 | DO ji = 2, jpim1 |
---|
2532 | |
---|
2533 | IF ( lshear(ji,jj) ) THEN |
---|
2534 | IF ( lconv(ji,jj) ) THEN ! Convective |
---|
2535 | |
---|
2536 | IF ( ln_osm_mle ) THEN |
---|
2537 | |
---|
2538 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
---|
2539 | ! Fox-Kemper buoyancy flux average over OSBL |
---|
2540 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
---|
2541 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
2542 | ELSE |
---|
2543 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
2544 | ENDIF |
---|
2545 | zvel_max = ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
2546 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
---|
2547 | ! OSBL is deepening, entrainment > restratification |
---|
2548 | IF ( zdb_bl(ji,jj) > 1.0e-15 ) THEN |
---|
2549 | zgamma_b_nd = MAX( zdbdz_bl_ext(ji,jj), 0._wp ) * zdh(ji,jj) / zdb_ml(ji,jj) |
---|
2550 | zpsi = ( 1.0 - 0.5 * zdh(ji,jj) / zhbl(ji,jj) ) * ( zwb0(ji,jj) - MIN( ( zwb_min(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ), 0._wp ) ) * zdh(ji,jj) / zhbl(ji,jj) |
---|
2551 | zpsi = zpsi + 1.75 * ( 1.0 - 0.5 * zdh(ji,jj) / zhbl(ji,jj) )*( zdh(ji,jj) / zhbl(ji,jj) + zgamma_b_nd ) * MIN( ( zwb_min(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ), 0._wp ) |
---|
2552 | zpsi = zalpha_b * MAX ( zpsi, 0._wp ) |
---|
2553 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) + zpsi / ( zvel_max + MAX( zdb_bl(ji,jj), 1.e-15 ) ) |
---|
2554 | #ifdef key_osm_debug |
---|
2555 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2556 | WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt, OSBL is deepening, entrainment > restratification: zdhdt=',zdhdt(ji,jj) |
---|
2557 | WRITE(narea+100,'(3(a,g11.3))') ' zpsi=',zpsi, ' zgamma_b_nd=', zgamma_b_nd, ' zdh=', zdh(ji,jj) |
---|
2558 | FLUSH(narea+100) |
---|
2559 | END IF |
---|
2560 | #endif |
---|
2561 | IF ( j_ddh(ji,jj) == 1 ) THEN |
---|
2562 | IF ( ( zwstrc(ji,jj) / zvstr(ji,jj) )**3 <= 0.5 ) THEN |
---|
2563 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2564 | ELSE |
---|
2565 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2566 | ENDIF |
---|
2567 | ! Relaxation to dh_ref = zari * hbl |
---|
2568 | zddhdt = -a_ddh_2 * ( 1.0 - zdh(ji,jj) / ( zari * zhbl(ji,jj) ) ) * zwb_ent(ji,jj) / zdb_bl(ji,jj) |
---|
2569 | #ifdef key_osm_debug |
---|
2570 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2571 | WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt,j_ddh(ji,jj) == 1: zari=',zari |
---|
2572 | FLUSH(narea+100) |
---|
2573 | END IF |
---|
2574 | #endif |
---|
2575 | |
---|
2576 | ELSE IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
2577 | ! Growing shear layer |
---|
2578 | zddhdt = -a_ddh * ( 1.0 - 1.6 * zdh(ji,jj) / zhbl(ji,jj) ) * zwb_ent(ji,jj) / zdb_bl(ji,jj) |
---|
2579 | zddhdt = EXP( - 4.0 * ABS( ff_t(ji,jj) ) * zhbl(ji,jj) / MAX(zustar(ji,jj), 1.e-8 ) ) * zddhdt |
---|
2580 | ELSE |
---|
2581 | zddhdt = 0._wp |
---|
2582 | ENDIF ! j_ddh |
---|
2583 | zdhdt(ji,jj) = zdhdt(ji,jj) + zalpha_b * ( 1.0 -0.5 * zdh(ji,jj) / zhbl(ji,jj) ) * & |
---|
2584 | & zdb_ml(ji,jj) * zddhdt / ( zvel_max + MAX( zdb_bl(ji,jj), 1.0e-15 ) ) |
---|
2585 | ELSE ! zdb_bl >0 |
---|
2586 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
---|
2587 | ENDIF |
---|
2588 | ELSE ! zwb_min + 2*zwb_fk_b < 0 |
---|
2589 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
2590 | zdhdt(ji,jj) = - MIN(zvel_mle(ji,jj), hbl(ji,jj)/10800.) |
---|
2591 | |
---|
2592 | |
---|
2593 | ENDIF |
---|
2594 | |
---|
2595 | ELSE |
---|
2596 | ! Fox-Kemper not used. |
---|
2597 | |
---|
2598 | zvel_max = - ( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
---|
2599 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
---|
2600 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
2601 | ! added ajgn 23 July as temporay fix |
---|
2602 | |
---|
2603 | ENDIF ! ln_osm_mle |
---|
2604 | |
---|
2605 | ELSE ! lconv - Stable |
---|
2606 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
---|
2607 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
---|
2608 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
2609 | zpert = 2.0 * ( 1.0 + 0.0 * 2.0 * zvstr(ji,jj) * rn_rdt / hbl(ji,jj) ) * zvstr(ji,jj)**2 / hbl(ji,jj) |
---|
2610 | ELSE |
---|
2611 | zpert = MAX( zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
---|
2612 | ENDIF |
---|
2613 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
---|
2614 | zdhdt(ji,jj) = MAX(zdhdt(ji,jj), -hbl(ji,jj)/5400.) |
---|
2615 | ENDIF ! lconv |
---|
2616 | ELSE ! lshear |
---|
2617 | IF ( lconv(ji,jj) ) THEN ! Convective |
---|
2618 | |
---|
2619 | IF ( ln_osm_mle ) THEN |
---|
2620 | |
---|
2621 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
---|
2622 | ! Fox-Kemper buoyancy flux average over OSBL |
---|
2623 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
---|
2624 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
2625 | ELSE |
---|
2626 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
2627 | ENDIF |
---|
2628 | zvel_max = ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
2629 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
---|
2630 | ! OSBL is deepening, entrainment > restratification |
---|
2631 | IF ( zdb_bl(ji,jj) > 0.0 .and. zdbdz_bl_ext(ji,jj) > 0.0 ) THEN |
---|
2632 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
2633 | ELSE |
---|
2634 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
---|
2635 | ENDIF |
---|
2636 | ELSE |
---|
2637 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
2638 | zdhdt(ji,jj) = - MIN(zvel_mle(ji,jj), hbl(ji,jj)/10800.) |
---|
2639 | |
---|
2640 | |
---|
2641 | ENDIF |
---|
2642 | |
---|
2643 | ELSE |
---|
2644 | ! Fox-Kemper not used. |
---|
2645 | |
---|
2646 | zvel_max = -zwb_ent(ji,jj) / & |
---|
2647 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
---|
2648 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
2649 | ! added ajgn 23 July as temporay fix |
---|
2650 | |
---|
2651 | ENDIF ! ln_osm_mle |
---|
2652 | |
---|
2653 | ELSE ! Stable |
---|
2654 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
---|
2655 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
---|
2656 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
2657 | zpert = 2.0 * zvstr(ji,jj)**2 / hbl(ji,jj) |
---|
2658 | ELSE |
---|
2659 | zpert = MAX( zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
---|
2660 | ENDIF |
---|
2661 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
---|
2662 | zdhdt(ji,jj) = MAX(zdhdt(ji,jj), -hbl(ji,jj)/5400.) |
---|
2663 | ENDIF ! lconv |
---|
2664 | ENDIF ! lshear |
---|
2665 | #ifdef key_osm_debug |
---|
2666 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2667 | WRITE(narea+100,'(4(a,g11.3))')'end of 1st major loop of zdf_osm_calculate_dhdt: zdhdt=',zdhdt(ji,jj), & |
---|
2668 | & ' zpert=', zpert, ' zddhdt=', zddhdt, ' zvel_max=', zvel_max |
---|
2669 | |
---|
2670 | IF ( ln_osm_mle ) THEN |
---|
2671 | WRITE(narea+100,'(3(a,g11.3),/)') 'zvel_mle=',zvel_mle(ji,jj), ' zwb_fk_b=', zwb_fk_b(ji,jj), & |
---|
2672 | & ' zwb_ent + 2*zwb_fk_b =', zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) |
---|
2673 | FLUSH(narea+100) |
---|
2674 | END IF |
---|
2675 | END IF |
---|
2676 | #endif |
---|
2677 | END DO |
---|
2678 | END DO |
---|
2679 | END SUBROUTINE zdf_osm_calculate_dhdt |
---|
2680 | |
---|
2681 | SUBROUTINE zdf_osm_timestep_hbl( zdhdt ) |
---|
2682 | !!--------------------------------------------------------------------- |
---|
2683 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
---|
2684 | !! |
---|
2685 | !! ** Purpose : Increments hbl. |
---|
2686 | !! |
---|
2687 | !! ** Method : If thechange in hbl exceeds one model level the change is |
---|
2688 | !! is calculated by moving down the grid, changing the buoyancy |
---|
2689 | !! jump. This is to ensure that the change in hbl does not |
---|
2690 | !! overshoot a stable layer. |
---|
2691 | !! |
---|
2692 | !!---------------------------------------------------------------------- |
---|
2693 | |
---|
2694 | |
---|
2695 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! rates of change of hbl. |
---|
2696 | |
---|
2697 | INTEGER :: jk, jj, ji, jm |
---|
2698 | REAL(wp) :: zhbl_s, zvel_max, zdb |
---|
2699 | REAL(wp) :: zthermal, zbeta |
---|
2700 | |
---|
2701 | DO jj = 2, jpjm1 |
---|
2702 | DO ji = 2, jpim1 |
---|
2703 | #ifdef key_osm_debug |
---|
2704 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2705 | WRITE(narea+100,'(2(a,i7))')'start of zdf_osm_timestep_hbl: old ibld=',imld(ji,jj),' trial ibld=', ibld(ji,jj) |
---|
2706 | FLUSH(narea+100) |
---|
2707 | END IF |
---|
2708 | #endif |
---|
2709 | IF ( ibld(ji,jj) - imld(ji,jj) > 1 ) THEN |
---|
2710 | ! |
---|
2711 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
---|
2712 | ! |
---|
2713 | zhbl_s = hbl(ji,jj) |
---|
2714 | jm = imld(ji,jj) |
---|
2715 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
2716 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
2717 | |
---|
2718 | |
---|
2719 | IF ( lconv(ji,jj) ) THEN |
---|
2720 | !unstable |
---|
2721 | |
---|
2722 | IF( ln_osm_mle ) THEN |
---|
2723 | zvel_max = ( zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
2724 | ELSE |
---|
2725 | |
---|
2726 | zvel_max = -( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
---|
2727 | & ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
---|
2728 | |
---|
2729 | ENDIF |
---|
2730 | #ifdef key_osm_debug |
---|
2731 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2732 | WRITE(narea+100,'(a,g11.3)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=T: zvel_max=',zvel_max |
---|
2733 | FLUSH(narea+100) |
---|
2734 | END IF |
---|
2735 | #endif |
---|
2736 | |
---|
2737 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
2738 | zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) ) & |
---|
2739 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ), & |
---|
2740 | & 0.0 ) + zvel_max |
---|
2741 | |
---|
2742 | |
---|
2743 | IF ( ln_osm_mle ) THEN |
---|
2744 | zhbl_s = zhbl_s + MIN( & |
---|
2745 | & rn_rdt * ( ( -zwb_ent(ji,jj) - 2.0 * zwb_fk_b(ji,jj) )/ zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
---|
2746 | & e3w_n(ji,jj,jm) ) |
---|
2747 | ELSE |
---|
2748 | zhbl_s = zhbl_s + MIN( & |
---|
2749 | & rn_rdt * ( -zwb_ent(ji,jj) / zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
---|
2750 | & e3w_n(ji,jj,jm) ) |
---|
2751 | ENDIF |
---|
2752 | |
---|
2753 | ! zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
2754 | IF ( zhbl_s >= gdepw_n(ji,jj,mbkt(ji,jj) + 1) ) THEN |
---|
2755 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
2756 | lpyc(ji,jj) = .FALSE. |
---|
2757 | ENDIF |
---|
2758 | IF ( zhbl_s >= gdepw_n(ji,jj,jm+1) ) jm = jm + 1 |
---|
2759 | #ifdef key_osm_debug |
---|
2760 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2761 | WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm |
---|
2762 | WRITE(narea+100,'(2(a,g11.3),a,l7)')'zdb=',zdb,' zhbl_s=', zhbl_s,' lpyc=',lpyc(ji,jj) |
---|
2763 | FLUSH(narea+100) |
---|
2764 | END IF |
---|
2765 | #endif |
---|
2766 | END DO |
---|
2767 | hbl(ji,jj) = zhbl_s |
---|
2768 | ibld(ji,jj) = jm |
---|
2769 | ELSE |
---|
2770 | ! stable |
---|
2771 | #ifdef key_osm_debug |
---|
2772 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2773 | WRITE(narea+100,'(a)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=F' |
---|
2774 | FLUSH(narea+100) |
---|
2775 | END IF |
---|
2776 | #endif |
---|
2777 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
2778 | zdb = MAX( & |
---|
2779 | & grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) )& |
---|
2780 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ),& |
---|
2781 | & 0.0 ) + & |
---|
2782 | & 2.0 * zvstr(ji,jj)**2 / zhbl_s |
---|
2783 | |
---|
2784 | ! Alan is thuis right? I have simply changed hbli to hbl |
---|
2785 | zhol(ji,jj) = -zhbl_s / ( ( zvstr(ji,jj)**3 + epsln )/ zwbav(ji,jj) ) |
---|
2786 | zdhdt(ji,jj) = -( zwbav(ji,jj) - 0.04 / 2.0 * zwstrl(ji,jj)**3 / zhbl_s - 0.15 / 2.0 * ( 1.0 - EXP( -1.5 * zla(ji,jj) ) ) * & |
---|
2787 | & zustar(ji,jj)**3 / zhbl_s ) * ( 0.725 + 0.225 * EXP( -7.5 * zhol(ji,jj) ) ) |
---|
2788 | zdhdt(ji,jj) = zdhdt(ji,jj) + zwbav(ji,jj) |
---|
2789 | zhbl_s = zhbl_s + MIN( zdhdt(ji,jj) / zdb * rn_rdt / FLOAT( ibld(ji,jj) - imld(ji,jj) ), e3w_n(ji,jj,jm) ) |
---|
2790 | |
---|
2791 | ! zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
2792 | IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN |
---|
2793 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
2794 | lpyc(ji,jj) = .FALSE. |
---|
2795 | ENDIF |
---|
2796 | IF ( zhbl_s >= gdepw_n(ji,jj,jm) ) jm = jm + 1 |
---|
2797 | #ifdef key_osm_debug |
---|
2798 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2799 | WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm |
---|
2800 | WRITE(narea+100,'(4(a,g11.3),a,l7)')'zdb=',zdb,' zhol',zhol(ji,jj),' zdhdt',zdhdt(ji,jj),' zhbl_s=', zhbl_s,' lpyc=',lpyc(ji,jj) |
---|
2801 | FLUSH(narea+100) |
---|
2802 | END IF |
---|
2803 | #endif |
---|
2804 | END DO |
---|
2805 | ENDIF ! IF ( lconv ) |
---|
2806 | hbl(ji,jj) = MAX(zhbl_s, gdepw_n(ji,jj,4) ) |
---|
2807 | ibld(ji,jj) = MAX(jm, 4 ) |
---|
2808 | ELSE |
---|
2809 | ! change zero or one model level. |
---|
2810 | hbl(ji,jj) = MAX(zhbl_t(ji,jj), gdepw_n(ji,jj,4) ) |
---|
2811 | ENDIF |
---|
2812 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
---|
2813 | #ifdef key_osm_debug |
---|
2814 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2815 | WRITE(narea+100,'(2(a,g11.3),a,i7,/)')'end of zdf_osm_timestep_hbl: hbl=', hbl(ji,jj),' zhbl=', zhbl(ji,jj),' ibld=', ibld(ji,jj) |
---|
2816 | FLUSH(narea+100) |
---|
2817 | END IF |
---|
2818 | #endif |
---|
2819 | END DO |
---|
2820 | END DO |
---|
2821 | |
---|
2822 | END SUBROUTINE zdf_osm_timestep_hbl |
---|
2823 | |
---|
2824 | SUBROUTINE zdf_osm_pycnocline_thickness( dh, zdh ) |
---|
2825 | !!--------------------------------------------------------------------- |
---|
2826 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
---|
2827 | !! |
---|
2828 | !! ** Purpose : Calculates thickness of the pycnocline |
---|
2829 | !! |
---|
2830 | !! ** Method : The thickness is calculated from a prognostic equation |
---|
2831 | !! that relaxes the pycnocine thickness to a diagnostic |
---|
2832 | !! value. The time change is calculated assuming the |
---|
2833 | !! thickness relaxes exponentially. This is done to deal |
---|
2834 | !! with large timesteps. |
---|
2835 | !! |
---|
2836 | !!---------------------------------------------------------------------- |
---|
2837 | |
---|
2838 | REAL(wp), DIMENSION(jpi,jpj) :: dh, zdh ! pycnocline thickness. |
---|
2839 | ! |
---|
2840 | INTEGER :: jj, ji |
---|
2841 | INTEGER :: inhml |
---|
2842 | REAL(wp) :: zari, ztau, zdh_ref, zddhdt, zvel_max |
---|
2843 | REAL, PARAMETER :: a_ddh = 2.5, a_ddh_2 = 3.5 ! also in pycnocline_depth |
---|
2844 | |
---|
2845 | DO jj = 2, jpjm1 |
---|
2846 | DO ji = 2, jpim1 |
---|
2847 | |
---|
2848 | IF ( lshear(ji,jj) ) THEN |
---|
2849 | IF ( lconv(ji,jj) ) THEN |
---|
2850 | IF ( zdb_bl(ji,jj) > 1.0e-15) THEN |
---|
2851 | IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
2852 | zvel_max = ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
2853 | ! ddhdt for pycnocline determined in osm_calculate_dhdt |
---|
2854 | zddhdt = -a_ddh * ( 1.0 - 1.6 * zdh(ji,jj) / zhbl(ji,jj) ) * zwb_ent(ji,jj) / ( zvel_max + MAX( zdb_bl(ji,jj), 1.0e-15 ) ) |
---|
2855 | zddhdt = EXP( - 4.0 * ABS( ff_t(ji,jj) ) * zhbl(ji,jj) / MAX(zustar(ji,jj), 1.e-8 ) ) * zddhdt |
---|
2856 | ! maximum limit for how thick the shear layer can grow relative to the thickness of the boundary kayer |
---|
2857 | dh(ji,jj) = MIN( dh(ji,jj) + zddhdt * rn_rdt, 0.625 * hbl(ji,jj) ) |
---|
2858 | ELSE |
---|
2859 | ! Need to recalculate because hbl has been updated. |
---|
2860 | IF ( ( zwstrc(ji,jj) / zvstr(ji,jj) )**3 <= 0.5 ) THEN |
---|
2861 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2862 | ELSE |
---|
2863 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2864 | ENDIF |
---|
2865 | ztau = MAX( zdb_bl(ji,jj) * ( zari * hbl(ji,jj) ) / ( a_ddh_2 * MAX(-zwb_ent(ji,jj), 1.e-12) ), 2.0 * rn_rdt ) |
---|
2866 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zari * zhbl(ji,jj) * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
2867 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zari * zhbl(ji,jj) |
---|
2868 | ENDIF |
---|
2869 | ELSE |
---|
2870 | ztau = MAX( MAX( hbl(ji,jj) / ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln), 2.0 * rn_rdt ) |
---|
2871 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + 0.2 * zhbl(ji,jj) * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
2872 | IF ( dh(ji,jj) > hbl(ji,jj) ) dh(ji,jj) = 0.2 * hbl(ji,jj) |
---|
2873 | ENDIF |
---|
2874 | ELSE ! lconv |
---|
2875 | ! Initially shear only for entraining OSBL. Stable code will be needed if extended to stable OSBL |
---|
2876 | |
---|
2877 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
---|
2878 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
---|
2879 | ! boundary layer deepening |
---|
2880 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
2881 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
2882 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
---|
2883 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
---|
2884 | zdh_ref = MIN( zari, 0.2 ) * hbl(ji,jj) |
---|
2885 | ELSE |
---|
2886 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
2887 | ENDIF |
---|
2888 | ELSE ! IF(dhdt < 0) |
---|
2889 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
2890 | ENDIF ! IF (dhdt >= 0) |
---|
2891 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
2892 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! can be a problem with dh>hbl for rapid collapse |
---|
2893 | ENDIF |
---|
2894 | |
---|
2895 | ELSE ! lshear |
---|
2896 | ! for lshear = .FALSE. calculate ddhdt here |
---|
2897 | |
---|
2898 | IF ( lconv(ji,jj) ) THEN |
---|
2899 | |
---|
2900 | IF( ln_osm_mle ) THEN |
---|
2901 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0._wp ) THEN |
---|
2902 | ! OSBL is deepening. Note wb_fk_b is zero if ln_osm_mle=F |
---|
2903 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_bl_ext(ji,jj) > 0._wp)THEN |
---|
2904 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
---|
2905 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2906 | ELSE ! unstable |
---|
2907 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2908 | ENDIF |
---|
2909 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
2910 | zdh_ref = zari * hbl(ji,jj) |
---|
2911 | ELSE |
---|
2912 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
2913 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
2914 | ENDIF |
---|
2915 | ELSE |
---|
2916 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
2917 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
2918 | ENDIF |
---|
2919 | ELSE ! ln_osm_mle |
---|
2920 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_bl_ext(ji,jj) > 0._wp)THEN |
---|
2921 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
---|
2922 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2923 | ELSE ! unstable |
---|
2924 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
2925 | ENDIF |
---|
2926 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
2927 | zdh_ref = zari * hbl(ji,jj) |
---|
2928 | ELSE |
---|
2929 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
2930 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
2931 | ENDIF |
---|
2932 | |
---|
2933 | END IF ! ln_osm_mle |
---|
2934 | |
---|
2935 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
2936 | ! IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
2937 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
2938 | ! Alan: this hml is never defined or used |
---|
2939 | ELSE ! IF (lconv) |
---|
2940 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
---|
2941 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
---|
2942 | ! boundary layer deepening |
---|
2943 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
2944 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
2945 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
---|
2946 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
---|
2947 | zdh_ref = MIN( zari, 0.2 ) * hbl(ji,jj) |
---|
2948 | ELSE |
---|
2949 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
2950 | ENDIF |
---|
2951 | ELSE ! IF(dhdt < 0) |
---|
2952 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
2953 | ENDIF ! IF (dhdt >= 0) |
---|
2954 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau )+ zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
2955 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! can be a problem with dh>hbl for rapid collapse |
---|
2956 | ENDIF ! IF (lconv) |
---|
2957 | ENDIF ! lshear |
---|
2958 | |
---|
2959 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
2960 | inhml = MAX( INT( dh(ji,jj) / MAX(e3t_n(ji,jj,ibld(ji,jj)-1), 1.e-3) ) , 1 ) |
---|
2961 | imld(ji,jj) = MAX( ibld(ji,jj) - inhml, 3) |
---|
2962 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
---|
2963 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
2964 | #ifdef key_osm_debug |
---|
2965 | IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN |
---|
2966 | WRITE(narea+100,'(4(a,g11.3),2(a,i7),/,5(a,g11.3),/)') 'end of zdf_osm_pycnocline_thickness:hml=',hml(ji,jj), & |
---|
2967 | & ' zhml=',zhml(ji,jj),' zdh=', zdh(ji,jj), ' dh=', dh(ji,jj), ' imld=', imld(ji,jj), ' inhml=', inhml, & |
---|
2968 | & 'zvel_max=', zvel_max, ' ztau=', ztau,' zdh_ref=', zdh_ref, ' zar=', zari, ' zddhdt=', zddhdt |
---|
2969 | FLUSH(narea+100) |
---|
2970 | END IF |
---|
2971 | #endif |
---|
2972 | |
---|
2973 | END DO |
---|
2974 | END DO |
---|
2975 | |
---|
2976 | END SUBROUTINE zdf_osm_pycnocline_thickness |
---|
2977 | |
---|
2978 | |
---|
2979 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
---|
2980 | !!---------------------------------------------------------------------- |
---|
2981 | !! *** ROUTINE zdf_osm_horizontal_gradients *** |
---|
2982 | !! |
---|
2983 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with Fox-Kemper parametrization. |
---|
2984 | !! |
---|
2985 | !! ** Method : |
---|
2986 | !! |
---|
2987 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
2988 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
2989 | |
---|
2990 | |
---|
2991 | REAL(wp), DIMENSION(jpi,jpj) :: dbdx_mle, dbdy_mle ! MLE horiz gradients at u & v points |
---|
2992 | REAL(wp), DIMENSION(jpi,jpj) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient. |
---|
2993 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
---|
2994 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy |
---|
2995 | |
---|
2996 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
2997 | INTEGER :: ii, ij, ik, ikmax ! local integers |
---|
2998 | REAL(wp) :: zc |
---|
2999 | REAL(wp) :: zN2_c ! local buoyancy difference from 10m value |
---|
3000 | REAL(wp), DIMENSION(jpi,jpj) :: ztm, zsm, zLf_NH, zLf_MH |
---|
3001 | REAL(wp), DIMENSION(jpi,jpj,jpts):: ztsm_midu, ztsm_midv, zabu, zabv |
---|
3002 | REAL(wp), DIMENSION(jpi,jpj) :: zmld_midu, zmld_midv |
---|
3003 | !!---------------------------------------------------------------------- |
---|
3004 | ! |
---|
3005 | ! !== MLD used for MLE ==! |
---|
3006 | |
---|
3007 | mld_prof(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
3008 | zmld(:,:) = 0._wp ! here hmlp used as a dummy variable, integrating vertically N^2 |
---|
3009 | zN2_c = grav * rn_osm_mle_rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
---|
3010 | DO jk = nlb10, jpkm1 |
---|
3011 | DO jj = 1, jpj ! Mixed layer level: w-level |
---|
3012 | DO ji = 1, jpi |
---|
3013 | ikt = mbkt(ji,jj) |
---|
3014 | zmld(ji,jj) = zmld(ji,jj) + MAX( rn2b(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
---|
3015 | IF( zmld(ji,jj) < zN2_c ) mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
3016 | END DO |
---|
3017 | END DO |
---|
3018 | END DO |
---|
3019 | DO jj = 1, jpj |
---|
3020 | DO ji = 1, jpi |
---|
3021 | mld_prof(ji,jj) = MAX(mld_prof(ji,jj),ibld(ji,jj)) |
---|
3022 | zmld(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
---|
3023 | END DO |
---|
3024 | END DO |
---|
3025 | ! ensure mld_prof .ge. ibld |
---|
3026 | ! |
---|
3027 | ikmax = MIN( MAXVAL( mld_prof(:,:) ), jpkm1 ) ! max level of the computation |
---|
3028 | ! |
---|
3029 | ztm(:,:) = 0._wp |
---|
3030 | zsm(:,:) = 0._wp |
---|
3031 | DO jk = 1, ikmax ! MLD and mean buoyancy and N2 over the mixed layer |
---|
3032 | DO jj = 1, jpj |
---|
3033 | DO ji = 1, jpi |
---|
3034 | zc = e3t_n(ji,jj,jk) * REAL( MIN( MAX( 0, mld_prof(ji,jj)-jk ) , 1 ) ) ! zc being 0 outside the ML t-points |
---|
3035 | ztm(ji,jj) = ztm(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) |
---|
3036 | zsm(ji,jj) = zsm(ji,jj) + zc * tsn(ji,jj,jk,jp_sal) |
---|
3037 | END DO |
---|
3038 | END DO |
---|
3039 | END DO |
---|
3040 | ! average temperature and salinity. |
---|
3041 | ztm(:,:) = ztm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
---|
3042 | zsm(:,:) = zsm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
---|
3043 | ! calculate horizontal gradients at u & v points |
---|
3044 | |
---|
3045 | DO jj = 2, jpjm1 |
---|
3046 | DO ji = 1, jpim1 |
---|
3047 | zdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
3048 | zdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
3049 | zmld_midu(ji,jj) = 0.25_wp * (zmld(ji+1,jj) + zmld( ji,jj)) |
---|
3050 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji+1,jj) + ztm( ji,jj) ) |
---|
3051 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji+1,jj) + zsm( ji,jj) ) |
---|
3052 | END DO |
---|
3053 | END DO |
---|
3054 | |
---|
3055 | DO jj = 1, jpjm1 |
---|
3056 | DO ji = 2, jpim1 |
---|
3057 | zdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
3058 | zdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
3059 | zmld_midv(ji,jj) = 0.25_wp * (zmld(ji,jj+1) + zmld( ji,jj)) |
---|
3060 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji,jj+1) + ztm( ji,jj) ) |
---|
3061 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji,jj+1) + zsm( ji,jj) ) |
---|
3062 | END DO |
---|
3063 | END DO |
---|
3064 | |
---|
3065 | ! ensure salinity > 0 in unset values so EOS doesn't give FP error with fpe0 on |
---|
3066 | ztsm_midu(:,jpj,jp_sal) = 10. |
---|
3067 | ztsm_midv(jpi,:,jp_sal) = 10. |
---|
3068 | |
---|
3069 | CALL eos_rab(ztsm_midu, zmld_midu, zabu) |
---|
3070 | CALL eos_rab(ztsm_midv, zmld_midv, zabv) |
---|
3071 | |
---|
3072 | DO jj = 2, jpjm1 |
---|
3073 | DO ji = 1, jpim1 |
---|
3074 | dbdx_mle(ji,jj) = grav*(zdtdx(ji,jj)*zabu(ji,jj,jp_tem) - zdsdx(ji,jj)*zabu(ji,jj,jp_sal)) |
---|
3075 | END DO |
---|
3076 | END DO |
---|
3077 | DO jj = 1, jpjm1 |
---|
3078 | DO ji = 2, jpim1 |
---|
3079 | dbdy_mle(ji,jj) = grav*(zdtdy(ji,jj)*zabv(ji,jj,jp_tem) - zdsdy(ji,jj)*zabv(ji,jj,jp_sal)) |
---|
3080 | END DO |
---|
3081 | END DO |
---|
3082 | |
---|
3083 | DO jj = 2, jpjm1 |
---|
3084 | DO ji = 2, jpim1 |
---|
3085 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
3086 | zdbds_mle(ji,jj) = SQRT( 0.5_wp * ( dbdx_mle(ji,jj) * dbdx_mle(ji,jj) + dbdy_mle(ji,jj) * dbdy_mle(ji,jj) & |
---|
3087 | & + dbdx_mle(ji-1,jj) * dbdx_mle(ji-1,jj) + dbdy_mle(ji,jj-1) * dbdy_mle(ji,jj-1) ) ) |
---|
3088 | END DO |
---|
3089 | END DO |
---|
3090 | |
---|
3091 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
---|
3092 | SUBROUTINE zdf_osm_mle_parameters( zmld, mld_prof, hmle, zhmle, zvel_mle, zdiff_mle ) |
---|
3093 | !!---------------------------------------------------------------------- |
---|
3094 | !! *** ROUTINE zdf_osm_mle_parameters *** |
---|
3095 | !! |
---|
3096 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates the mixed layer eddy fluxes for buoyancy, heat and salinity. |
---|
3097 | !! |
---|
3098 | !! ** Method : |
---|
3099 | !! |
---|
3100 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
3101 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
3102 | |
---|
3103 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
---|
3104 | INTEGER, DIMENSION(jpi,jpj) :: mld_prof |
---|
3105 | REAL(wp), DIMENSION(jpi,jpj) :: hmle, zhmle, zwb_fk, zvel_mle, zdiff_mle |
---|
3106 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
3107 | INTEGER :: ii, ij, ik, jkb, jkb1 ! local integers |
---|
3108 | INTEGER , DIMENSION(jpi,jpj) :: inml_mle |
---|
3109 | REAL(wp) :: ztmp, zdbdz, zdtdz, zdsdz, zthermal,zbeta, zbuoy, zdb_mle |
---|
3110 | |
---|
3111 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE. |
---|
3112 | |
---|
3113 | DO jj = 2, jpjm1 |
---|
3114 | DO ji = 2, jpim1 |
---|
3115 | IF ( lconv(ji,jj) ) THEN |
---|
3116 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
3117 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt. |
---|
3118 | zvel_mle(ji,jj) = zdbds_mle(ji,jj) * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
---|
3119 | zdiff_mle(ji,jj) = 5.e-4_wp * rn_osm_mle_ce * ztmp * zdbds_mle(ji,jj) * zhmle(ji,jj)**2 |
---|
3120 | ENDIF |
---|
3121 | END DO |
---|
3122 | END DO |
---|
3123 | ! Timestep mixed layer eddy depth. |
---|
3124 | DO jj = 2, jpjm1 |
---|
3125 | DO ji = 2, jpim1 |
---|
3126 | IF ( lmle(ji,jj) ) THEN ! MLE layer growing. |
---|
3127 | ! Buoyancy gradient at base of MLE layer. |
---|
3128 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
3129 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
3130 | jkb = mld_prof(ji,jj) |
---|
3131 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
---|
3132 | ! |
---|
3133 | zbuoy = grav * ( zthermal * tsn(ji,jj,mld_prof(ji,jj)+2,jp_tem) - zbeta * tsn(ji,jj,mld_prof(ji,jj)+2,jp_sal) ) |
---|
3134 | zdb_mle = zb_bl(ji,jj) - zbuoy |
---|
3135 | ! Timestep hmle. |
---|
3136 | hmle(ji,jj) = hmle(ji,jj) + zwb0tot(ji,jj) * rn_rdt / zdb_mle |
---|
3137 | ELSE |
---|
3138 | IF ( zhmle(ji,jj) > zhbl(ji,jj) ) THEN |
---|
3139 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt / rn_osm_mle_tau |
---|
3140 | ELSE |
---|
3141 | hmle(ji,jj) = hmle(ji,jj) - 10.0 * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt /rn_osm_mle_tau |
---|
3142 | ENDIF |
---|
3143 | ENDIF |
---|
3144 | hmle(ji,jj) = MAX(MIN(hmle(ji,jj), ht_n(ji,jj)), gdepw_n(ji,jj,4)) |
---|
3145 | IF(ln_osm_hmle_limit) hmle(ji,jj) = MIN(hmle(ji,jj), rn_osm_hmle_limit*hbl(ji,jj) ) |
---|
3146 | ! For now try just set hmle to zmld |
---|
3147 | hmle(ji,jj) = zmld(ji,jj) |
---|
3148 | END DO |
---|
3149 | END DO |
---|
3150 | |
---|
3151 | mld_prof = 4 |
---|
3152 | DO jk = 5, jpkm1 |
---|
3153 | DO jj = 2, jpjm1 |
---|
3154 | DO ji = 2, jpim1 |
---|
3155 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
3156 | END DO |
---|
3157 | END DO |
---|
3158 | END DO |
---|
3159 | DO jj = 2, jpjm1 |
---|
3160 | DO ji = 2, jpim1 |
---|
3161 | zhmle(ji,jj) = gdepw_n(ji,jj, mld_prof(ji,jj)) |
---|
3162 | END DO |
---|
3163 | END DO |
---|
3164 | END SUBROUTINE zdf_osm_mle_parameters |
---|
3165 | |
---|
3166 | END SUBROUTINE zdf_osm |
---|
3167 | |
---|
3168 | |
---|
3169 | SUBROUTINE zdf_osm_init |
---|
3170 | !!---------------------------------------------------------------------- |
---|
3171 | !! *** ROUTINE zdf_osm_init *** |
---|
3172 | !! |
---|
3173 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
3174 | !! viscosity when using a osm turbulent closure scheme |
---|
3175 | !! |
---|
3176 | !! ** Method : Read the namosm namelist and check the parameters |
---|
3177 | !! called at the first timestep (nit000) |
---|
3178 | !! |
---|
3179 | !! ** input : Namlist namosm |
---|
3180 | !!---------------------------------------------------------------------- |
---|
3181 | INTEGER :: ios ! local integer |
---|
3182 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
3183 | REAL z1_t2 |
---|
3184 | !! |
---|
3185 | #ifdef key_osm_debug |
---|
3186 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave & |
---|
3187 | & ,nn_osm_wave, ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd & |
---|
3188 | & ,ln_kpprimix, rn_riinfty, rn_difri, ln_convmix, rn_difconv, nn_osm_wave & |
---|
3189 | & ,nn_osm_SD_reduce, ln_osm_mle, rn_osm_hblfrac, rn_osm_bl_thresh, ln_zdfosm_ice_shelter & |
---|
3190 | & ,nn_idb, nn_jdb, nn_kdb, nn_narea_db |
---|
3191 | #else |
---|
3192 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave & |
---|
3193 | & ,nn_osm_wave, ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd & |
---|
3194 | & ,ln_kpprimix, rn_riinfty, rn_difri, ln_convmix, rn_difconv, nn_osm_wave & |
---|
3195 | & ,nn_osm_SD_reduce, ln_osm_mle, rn_osm_hblfrac, rn_osm_bl_thresh, ln_zdfosm_ice_shelter |
---|
3196 | #endif |
---|
3197 | ! Namelist for Fox-Kemper parametrization. |
---|
3198 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat,& |
---|
3199 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
---|
3200 | |
---|
3201 | !!---------------------------------------------------------------------- |
---|
3202 | ! |
---|
3203 | REWIND( numnam_ref ) ! Namelist namzdf_osm in reference namelist : Osmosis ML model |
---|
3204 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
---|
3205 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
---|
3206 | |
---|
3207 | REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy |
---|
3208 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
---|
3209 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
---|
3210 | IF(lwm) WRITE ( numond, namzdf_osm ) |
---|
3211 | |
---|
3212 | IF(lwp) THEN ! Control print |
---|
3213 | WRITE(numout,*) |
---|
3214 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
---|
3215 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
3216 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
---|
3217 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
---|
3218 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
---|
3219 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
---|
3220 | WRITE(numout,*) ' Stokes drift reduction factor rn_zdfosm_adjust_sd = ', rn_zdfosm_adjust_sd |
---|
3221 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
---|
3222 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
---|
3223 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
---|
3224 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
---|
3225 | SELECT CASE (nn_osm_wave) |
---|
3226 | CASE(0) |
---|
3227 | WRITE(numout,*) ' calculated assuming constant La#=0.3' |
---|
3228 | CASE(1) |
---|
3229 | WRITE(numout,*) ' calculated from Pierson Moskowitz wind-waves' |
---|
3230 | CASE(2) |
---|
3231 | WRITE(numout,*) ' calculated from ECMWF wave fields' |
---|
3232 | END SELECT |
---|
3233 | WRITE(numout,*) ' Stokes drift reduction nn_osm_SD_reduce', nn_osm_SD_reduce |
---|
3234 | WRITE(numout,*) ' fraction of hbl to average SD over/fit' |
---|
3235 | WRITE(numout,*) ' exponential with nn_osm_SD_reduce = 1 or 2 rn_osm_hblfrac = ', rn_osm_hblfrac |
---|
3236 | SELECT CASE (nn_osm_SD_reduce) |
---|
3237 | CASE(0) |
---|
3238 | WRITE(numout,*) ' No reduction' |
---|
3239 | CASE(1) |
---|
3240 | WRITE(numout,*) ' Average SD over upper rn_osm_hblfrac of BL' |
---|
3241 | CASE(2) |
---|
3242 | WRITE(numout,*) ' Fit exponential to slope rn_osm_hblfrac of BL' |
---|
3243 | END SELECT |
---|
3244 | WRITE(numout,*) ' reduce surface SD and depth scale under ice ln_zdfosm_ice_shelter=', ln_zdfosm_ice_shelter |
---|
3245 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
---|
3246 | WRITE(numout,*) ' Threshold used to define BL rn_osm_bl_thresh = ', rn_osm_bl_thresh, 'm^2/s' |
---|
3247 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
---|
3248 | WRITE(numout,*) ' local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
---|
3249 | WRITE(numout,*) ' maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
---|
3250 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
---|
3251 | WRITE(numout,*) ' diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
---|
3252 | #ifdef key_osm_debug |
---|
3253 | WRITE(numout,*) 'nn_idb', nn_idb, 'nn_jdb', nn_jdb, 'nn_kdb', nn_kdb, 'nn_narea_db', nn_narea_db |
---|
3254 | |
---|
3255 | iloc_db = mi0(nn_idb) |
---|
3256 | jloc_db = mj0(nn_jdb) |
---|
3257 | WRITE(numout,*) 'iloc_db ', iloc_db , 'jloc_db', jloc_db |
---|
3258 | #endif |
---|
3259 | ENDIF |
---|
3260 | |
---|
3261 | |
---|
3262 | ! ! Check wave coupling settings ! |
---|
3263 | ! ! Further work needed - see ticket #2447 ! |
---|
3264 | IF( nn_osm_wave == 2 ) THEN |
---|
3265 | IF (.NOT. ( ln_wave .AND. ln_sdw )) & |
---|
3266 | & CALL ctl_stop( 'zdf_osm_init : ln_zdfosm and nn_osm_wave=2, ln_wave and ln_sdw must be true' ) |
---|
3267 | END IF |
---|
3268 | |
---|
3269 | ! ! allocate zdfosm arrays |
---|
3270 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
---|
3271 | |
---|
3272 | |
---|
3273 | IF( ln_osm_mle ) THEN |
---|
3274 | ! Initialise Fox-Kemper parametrization |
---|
3275 | REWIND( numnam_ref ) ! Namelist namosm_mle in reference namelist : Tracer advection scheme |
---|
3276 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
---|
3277 | 903 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namosm_mle in reference namelist') |
---|
3278 | |
---|
3279 | REWIND( numnam_cfg ) ! Namelist namosm_mle in configuration namelist : Tracer advection scheme |
---|
3280 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
---|
3281 | 904 IF( ios > 0 ) CALL ctl_nam ( ios , 'namosm_mle in configuration namelist') |
---|
3282 | IF(lwm) WRITE ( numond, namosm_mle ) |
---|
3283 | |
---|
3284 | IF(lwp) THEN ! Namelist print |
---|
3285 | WRITE(numout,*) |
---|
3286 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
---|
3287 | WRITE(numout,*) '~~~~~~~~~~~~~' |
---|
3288 | WRITE(numout,*) ' Namelist namosm_mle : ' |
---|
3289 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
---|
3290 | WRITE(numout,*) ' magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
---|
3291 | WRITE(numout,*) ' scale of ML front (ML radius of deformation) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, 'm' |
---|
3292 | WRITE(numout,*) ' maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', rn_osm_mle_time, 's' |
---|
3293 | WRITE(numout,*) ' reference latitude (degrees) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, 'deg' |
---|
3294 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
---|
3295 | WRITE(numout,*) ' Threshold used to define MLE for FK rn_osm_mle_thresh = ', rn_osm_mle_thresh, 'm^2/s' |
---|
3296 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
---|
3297 | WRITE(numout,*) ' switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
---|
3298 | WRITE(numout,*) ' fraction of zmld to limit hmle to if ln_osm_hmle_limit =.T. rn_osm_hmle_limit = ', rn_osm_hmle_limit |
---|
3299 | ENDIF ! |
---|
3300 | ENDIF |
---|
3301 | ! |
---|
3302 | IF(lwp) THEN |
---|
3303 | WRITE(numout,*) |
---|
3304 | IF( ln_osm_mle ) THEN |
---|
3305 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
---|
3306 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
---|
3307 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
---|
3308 | ELSE |
---|
3309 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
---|
3310 | ENDIF |
---|
3311 | ENDIF |
---|
3312 | ! |
---|
3313 | IF( ln_osm_mle ) THEN ! MLE initialisation |
---|
3314 | ! |
---|
3315 | rb_c = grav * rn_osm_mle_rho_c /rau0 ! Mixed Layer buoyancy criteria |
---|
3316 | IF(lwp) WRITE(numout,*) |
---|
3317 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
---|
3318 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
---|
3319 | ! |
---|
3320 | IF( nn_osm_mle == 0 ) THEN ! MLE array allocation & initialisation ! |
---|
3321 | ! |
---|
3322 | ELSEIF( nn_osm_mle == 1 ) THEN ! MLE array allocation & initialisation |
---|
3323 | rc_f = rn_osm_mle_ce/ ( 5.e3_wp * 2._wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
---|
3324 | ! |
---|
3325 | ENDIF |
---|
3326 | ! ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
---|
3327 | z1_t2 = 2.e-5 |
---|
3328 | do jj=1,jpj |
---|
3329 | do ji = 1,jpi |
---|
3330 | r1_ft(ji,jj) = MIN(1./( ABS(ff_t(ji,jj)) + epsln ), ABS(ff_t(ji,jj))/z1_t2**2) |
---|
3331 | end do |
---|
3332 | end do |
---|
3333 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
---|
3334 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
---|
3335 | ! |
---|
3336 | ENDIF |
---|
3337 | |
---|
3338 | call osm_rst( nit000, 'READ' ) !* read or initialize hbl, dh, hmle |
---|
3339 | |
---|
3340 | |
---|
3341 | IF( ln_zdfddm) THEN |
---|
3342 | IF(lwp) THEN |
---|
3343 | WRITE(numout,*) |
---|
3344 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
---|
3345 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
---|
3346 | ENDIF |
---|
3347 | ENDIF |
---|
3348 | |
---|
3349 | |
---|
3350 | !set constants not in namelist |
---|
3351 | !----------------------------- |
---|
3352 | |
---|
3353 | IF(lwp) THEN |
---|
3354 | WRITE(numout,*) |
---|
3355 | ENDIF |
---|
3356 | |
---|
3357 | IF (nn_osm_wave == 0) THEN |
---|
3358 | dstokes(:,:) = rn_osm_dstokes |
---|
3359 | END IF |
---|
3360 | |
---|
3361 | ! Horizontal average : initialization of weighting arrays |
---|
3362 | ! ------------------- |
---|
3363 | |
---|
3364 | SELECT CASE ( nn_ave ) |
---|
3365 | |
---|
3366 | CASE ( 0 ) ! no horizontal average |
---|
3367 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
---|
3368 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
3369 | ! weighting mean arrays etmean |
---|
3370 | ! ( 1 1 ) |
---|
3371 | ! avt = 1/4 ( 1 1 ) |
---|
3372 | ! |
---|
3373 | etmean(:,:,:) = 0.e0 |
---|
3374 | |
---|
3375 | DO jk = 1, jpkm1 |
---|
3376 | DO jj = 2, jpjm1 |
---|
3377 | DO ji = 2, jpim1 ! vector opt. |
---|
3378 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
---|
3379 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
---|
3380 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
3381 | END DO |
---|
3382 | END DO |
---|
3383 | END DO |
---|
3384 | |
---|
3385 | CASE ( 1 ) ! horizontal average |
---|
3386 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
---|
3387 | ! weighting mean arrays etmean |
---|
3388 | ! ( 1/2 1 1/2 ) |
---|
3389 | ! avt = 1/8 ( 1 2 1 ) |
---|
3390 | ! ( 1/2 1 1/2 ) |
---|
3391 | etmean(:,:,:) = 0.e0 |
---|
3392 | |
---|
3393 | DO jk = 1, jpkm1 |
---|
3394 | DO jj = 2, jpjm1 |
---|
3395 | DO ji = 2, jpim1 ! vector opt. |
---|
3396 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
---|
3397 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
---|
3398 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
---|
3399 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
---|
3400 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
---|
3401 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
---|
3402 | END DO |
---|
3403 | END DO |
---|
3404 | END DO |
---|
3405 | |
---|
3406 | CASE DEFAULT |
---|
3407 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
---|
3408 | CALL ctl_stop( ctmp1 ) |
---|
3409 | |
---|
3410 | END SELECT |
---|
3411 | |
---|
3412 | ! Initialization of vertical eddy coef. to the background value |
---|
3413 | ! ------------------------------------------------------------- |
---|
3414 | DO jk = 1, jpk |
---|
3415 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
3416 | END DO |
---|
3417 | |
---|
3418 | ! zero the surface flux for non local term and osm mixed layer depth |
---|
3419 | ! ------------------------------------------------------------------ |
---|
3420 | ghamt(:,:,:) = 0. |
---|
3421 | ghams(:,:,:) = 0. |
---|
3422 | ghamu(:,:,:) = 0. |
---|
3423 | ghamv(:,:,:) = 0. |
---|
3424 | ! |
---|
3425 | IF( lwxios ) THEN |
---|
3426 | CALL iom_set_rstw_var_active('wn') |
---|
3427 | CALL iom_set_rstw_var_active('hbl') |
---|
3428 | CALL iom_set_rstw_var_active('dh') |
---|
3429 | IF( ln_osm_mle ) THEN |
---|
3430 | CALL iom_set_rstw_var_active('hmle') |
---|
3431 | END IF |
---|
3432 | ENDIF |
---|
3433 | END SUBROUTINE zdf_osm_init |
---|
3434 | |
---|
3435 | |
---|
3436 | SUBROUTINE osm_rst( kt, cdrw ) |
---|
3437 | !!--------------------------------------------------------------------- |
---|
3438 | !! *** ROUTINE osm_rst *** |
---|
3439 | !! |
---|
3440 | !! ** Purpose : Read or write BL fields in restart file |
---|
3441 | !! |
---|
3442 | !! ** Method : use of IOM library. If the restart does not contain |
---|
3443 | !! required fields, they are recomputed from stratification |
---|
3444 | !!---------------------------------------------------------------------- |
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3445 | |
---|
3446 | INTEGER, INTENT(in) :: kt |
---|
3447 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
3448 | |
---|
3449 | INTEGER :: id1, id2, id3 ! iom enquiry index |
---|
3450 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
3451 | INTEGER :: iiki, ikt ! local integer |
---|
3452 | REAL(wp) :: zhbf ! tempory scalars |
---|
3453 | REAL(wp) :: zN2_c ! local scalar |
---|
3454 | REAL(wp) :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
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3455 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! level of mixed-layer depth (pycnocline top) |
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3456 | !!---------------------------------------------------------------------- |
---|
3457 | ! |
---|
3458 | !!----------------------------------------------------------------------------- |
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3459 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
---|
3460 | !!----------------------------------------------------------------------------- |
---|
3461 | IF( TRIM(cdrw) == 'READ'.AND. ln_rstart) THEN |
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3462 | id1 = iom_varid( numror, 'wn' , ldstop = .FALSE. ) |
---|
3463 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
---|
3464 | CALL iom_get( numror, jpdom_autoglo, 'wn', wn, ldxios = lrxios ) |
---|
3465 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
---|
3466 | ELSE |
---|
3467 | wn(:,:,:) = 0._wp |
---|
3468 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
3469 | END IF |
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3470 | |
---|
3471 | id1 = iom_varid( numror, 'hbl' , ldstop = .FALSE. ) |
---|
3472 | id2 = iom_varid( numror, 'dh' , ldstop = .FALSE. ) |
---|
3473 | IF( id1 > 0 .AND. id2 > 0) THEN ! 'hbl' exists; read and return |
---|
3474 | CALL iom_get( numror, jpdom_autoglo, 'hbl' , hbl , ldxios = lrxios ) |
---|
3475 | CALL iom_get( numror, jpdom_autoglo, 'dh', dh, ldxios = lrxios ) |
---|
3476 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
---|
3477 | IF( ln_osm_mle ) THEN |
---|
3478 | id3 = iom_varid( numror, 'hmle' , ldstop = .FALSE. ) |
---|
3479 | IF( id3 > 0) THEN |
---|
3480 | CALL iom_get( numror, jpdom_autoglo, 'hmle' , hmle , ldxios = lrxios ) |
---|
3481 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
---|
3482 | ELSE |
---|
3483 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
---|
3484 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
3485 | END IF |
---|
3486 | END IF |
---|
3487 | RETURN |
---|
3488 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
---|
3489 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
---|
3490 | END IF |
---|
3491 | END IF |
---|
3492 | |
---|
3493 | !!----------------------------------------------------------------------------- |
---|
3494 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
---|
3495 | !!----------------------------------------------------------------------------- |
---|
3496 | IF( TRIM(cdrw) == 'WRITE') THEN !* Write hbli into the restart file, then return |
---|
3497 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
---|
3498 | CALL iom_rstput( kt, nitrst, numrow, 'wn' , wn, ldxios = lwxios ) |
---|
3499 | CALL iom_rstput( kt, nitrst, numrow, 'hbl' , hbl, ldxios = lwxios ) |
---|
3500 | CALL iom_rstput( kt, nitrst, numrow, 'dh' , dh, ldxios = lwxios ) |
---|
3501 | IF( ln_osm_mle ) THEN |
---|
3502 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle, ldxios = lwxios ) |
---|
3503 | END IF |
---|
3504 | RETURN |
---|
3505 | END IF |
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3506 | |
---|
3507 | !!----------------------------------------------------------------------------- |
---|
3508 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
---|
3509 | !!----------------------------------------------------------------------------- |
---|
3510 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
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3511 | ! w-level of the mixing and mixed layers |
---|
3512 | CALL eos_rab( tsn, rab_n ) |
---|
3513 | CALL bn2(tsn, rab_n, rn2) |
---|
3514 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
3515 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
---|
3516 | zN2_c = grav * rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
---|
3517 | ! |
---|
3518 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
---|
3519 | DO jk = 1, jpkm1 |
---|
3520 | DO jj = 1, jpj ! Mixed layer level: w-level |
---|
3521 | DO ji = 1, jpi |
---|
3522 | ikt = mbkt(ji,jj) |
---|
3523 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
---|
3524 | IF( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
3525 | END DO |
---|
3526 | END DO |
---|
3527 | END DO |
---|
3528 | ! |
---|
3529 | DO jj = 1, jpj |
---|
3530 | DO ji = 1, jpi |
---|
3531 | iiki = MAX(4,imld_rst(ji,jj)) |
---|
3532 | hbl (ji,jj) = gdepw_n(ji,jj,iiki ) ! Turbocline depth |
---|
3533 | dh (ji,jj) = e3t_n(ji,jj,iiki-1 ) ! Turbocline depth |
---|
3534 | END DO |
---|
3535 | END DO |
---|
3536 | |
---|
3537 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
---|
3538 | |
---|
3539 | IF( ln_osm_mle ) THEN |
---|
3540 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
3541 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
---|
3542 | END IF |
---|
3543 | |
---|
3544 | wn(:,:,:) = 0._wp |
---|
3545 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
3546 | END SUBROUTINE osm_rst |
---|
3547 | |
---|
3548 | |
---|
3549 | SUBROUTINE tra_osm( kt ) |
---|
3550 | !!---------------------------------------------------------------------- |
---|
3551 | !! *** ROUTINE tra_osm *** |
---|
3552 | !! |
---|
3553 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
---|
3554 | !! |
---|
3555 | !! ** Method : ??? |
---|
3556 | !!---------------------------------------------------------------------- |
---|
3557 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
---|
3558 | !!---------------------------------------------------------------------- |
---|
3559 | INTEGER, INTENT(in) :: kt |
---|
3560 | INTEGER :: ji, jj, jk |
---|
3561 | ! |
---|
3562 | IF( kt == nit000 ) THEN |
---|
3563 | IF(lwp) WRITE(numout,*) |
---|
3564 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
---|
3565 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
3566 | ENDIF |
---|
3567 | |
---|
3568 | IF( l_trdtra ) THEN !* Save ta and sa trends |
---|
3569 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
---|
3570 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
---|
3571 | ENDIF |
---|
3572 | |
---|
3573 | DO jk = 1, jpkm1 |
---|
3574 | DO jj = 2, jpjm1 |
---|
3575 | DO ji = 2, jpim1 |
---|
3576 | tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) & |
---|
3577 | & - ( ghamt(ji,jj,jk ) & |
---|
3578 | & - ghamt(ji,jj,jk+1) ) /e3t_n(ji,jj,jk) |
---|
3579 | tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) & |
---|
3580 | & - ( ghams(ji,jj,jk ) & |
---|
3581 | & - ghams(ji,jj,jk+1) ) / e3t_n(ji,jj,jk) |
---|
3582 | END DO |
---|
3583 | END DO |
---|
3584 | END DO |
---|
3585 | |
---|
3586 | ! save the non-local tracer flux trends for diagnostics |
---|
3587 | IF( l_trdtra ) THEN |
---|
3588 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
---|
3589 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
---|
3590 | |
---|
3591 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_osm, ztrdt ) |
---|
3592 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_osm, ztrds ) |
---|
3593 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
---|
3594 | ENDIF |
---|
3595 | |
---|
3596 | IF(ln_ctl) THEN |
---|
3597 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' osm - Ta: ', mask1=tmask, & |
---|
3598 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
---|
3599 | ENDIF |
---|
3600 | ! |
---|
3601 | END SUBROUTINE tra_osm |
---|
3602 | |
---|
3603 | |
---|
3604 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
---|
3605 | !!---------------------------------------------------------------------- |
---|
3606 | !! *** ROUTINE trc_osm *** |
---|
3607 | !! |
---|
3608 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
---|
3609 | !! passive tracer flux |
---|
3610 | !! |
---|
3611 | !! |
---|
3612 | !! ** Method : ??? |
---|
3613 | !!---------------------------------------------------------------------- |
---|
3614 | ! |
---|
3615 | !!---------------------------------------------------------------------- |
---|
3616 | INTEGER, INTENT(in) :: kt |
---|
3617 | WRITE(*,*) 'trc_osm: Not written yet', kt |
---|
3618 | END SUBROUTINE trc_osm |
---|
3619 | |
---|
3620 | |
---|
3621 | SUBROUTINE dyn_osm( kt ) |
---|
3622 | !!---------------------------------------------------------------------- |
---|
3623 | !! *** ROUTINE dyn_osm *** |
---|
3624 | !! |
---|
3625 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
---|
3626 | !! copied/modified from tra_osm |
---|
3627 | !! |
---|
3628 | !! ** Method : ??? |
---|
3629 | !!---------------------------------------------------------------------- |
---|
3630 | INTEGER, INTENT(in) :: kt ! |
---|
3631 | ! |
---|
3632 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
3633 | !!---------------------------------------------------------------------- |
---|
3634 | ! |
---|
3635 | IF( kt == nit000 ) THEN |
---|
3636 | IF(lwp) WRITE(numout,*) |
---|
3637 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
---|
3638 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
3639 | ENDIF |
---|
3640 | !code saving tracer trends removed, replace with trdmxl_oce |
---|
3641 | |
---|
3642 | DO jk = 1, jpkm1 ! add non-local u and v fluxes |
---|
3643 | DO jj = 2, jpjm1 |
---|
3644 | DO ji = 2, jpim1 |
---|
3645 | ua(ji,jj,jk) = ua(ji,jj,jk) & |
---|
3646 | & - ( ghamu(ji,jj,jk ) & |
---|
3647 | & - ghamu(ji,jj,jk+1) ) / e3u_n(ji,jj,jk) |
---|
3648 | va(ji,jj,jk) = va(ji,jj,jk) & |
---|
3649 | & - ( ghamv(ji,jj,jk ) & |
---|
3650 | & - ghamv(ji,jj,jk+1) ) / e3v_n(ji,jj,jk) |
---|
3651 | END DO |
---|
3652 | END DO |
---|
3653 | END DO |
---|
3654 | ! |
---|
3655 | ! code for saving tracer trends removed |
---|
3656 | ! |
---|
3657 | END SUBROUTINE dyn_osm |
---|
3658 | |
---|
3659 | !!====================================================================== |
---|
3660 | |
---|
3661 | END MODULE zdfosm |
---|